{"id":32647,"date":"2023-08-06T17:49:10","date_gmt":"2023-08-06T17:49:10","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=32647"},"modified":"2024-02-05T16:07:33","modified_gmt":"2024-02-05T16:07:33","slug":"distance-between-point-and-plane-definition-formula-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/distance-between-point-and-plane","title":{"rendered":"Distance Between Point and Plane: Definition, Formula, Examples, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-f7514af5-e707-49f2-8c91-be8a0be7d34a\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/distance-between-point-and-plane#0-what-is-the-distance-between-point-and-plane>What Is the Distance between Point and Plane?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/distance-between-point-and-plane#1-formula-for-distance-between-a-point-and-a-plane>Formula for Distance between a Point and a Plane<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/distance-between-point-and-plane#2-how-to-find-the-distance-from-the-point-to-the-plane>How to Find the Distance from the Point to the Plane<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/distance-between-point-and-plane#6-solved-examples-on-distance-between-point-and-plane>Solved Examples on Distance Between Point and Plane<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/distance-between-point-and-plane#7-practice-problems-on-distance-between-point-and-plane>Practice Problems on Distance between Point and Plane<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/distance-between-point-and-plane#8-frequently-asked-questions-about-the-distance-between-point-and-plane>Frequently Asked Questions about the Distance between Point and Plane<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-distance-between-point-and-plane\">What Is the Distance between Point and Plane?<\/h2>\n\n\n\n<p><strong>The distance between a point and a plane is equal to the length of the perpendicular drawn to the plane from the given point.<\/strong><\/p>\n\n\n\n<p>You can draw an infinite number of line segments from a given <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/point\">point<\/a> to a plane. However, the distance between a point and a plane is the shortest distance possible between the point and the plane.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"474\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/shortest-distance-between-a-point-and-a-plane.png\" alt=\"Shortest distance between a point and a plane\" class=\"wp-image-32705\" title=\"Shortest distance between a point and a plane\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/shortest-distance-between-a-point-and-a-plane.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/shortest-distance-between-a-point-and-a-plane-300x229.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/calculate-the-difference-between-amounts-of-money\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/measurement_sub_word_prob_2_pt.png\" alt=\"Calculate the Difference Between Amounts of Money Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Calculate the Difference Between Amounts of Money Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-missing-number-in-between\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/count_comp_nmbrs_in_btwn_pt.png\" alt=\"Choose the Missing Number in Between Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Missing Number in Between Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-division-solution-where-dividend-is-between-6-9\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_div_6_to_9_b_pt.png\" alt=\"Complete the Division Solution Where Dividend is Between 6-9 Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Division Solution Where Dividend is Between 6-9 Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-multiplication-between-fractions-and-whole-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_complete_multiplication_pt.png\" alt=\"Complete the Multiplication Between Fractions and Whole Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Multiplication Between Fractions and Whole Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/complete-the-subtraction-between-a-mixed-number-and-a-fraction\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_complete_sub_pt.png\" alt=\"Complete the Subtraction between a Mixed Number and a Fraction Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Complete the Subtraction between a Mixed Number and a Fraction Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/convert-between-gallons-pints-quarts-and-cups-using-table\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/measurement_conversion_table_custom_capacity_pt.png\" alt=\"Convert Between Gallons, Pints, Quarts and Cups Using Table Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Convert Between Gallons, Pints, Quarts and Cups Using Table Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/convert-between-ounces-and-pounds-using-table\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/measurement_conversion_table_custom_weight_pt.png\" alt=\"Convert Between Ounces and Pounds Using Table Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Convert Between Ounces and Pounds Using Table Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/cross-out-parts-to-find-the-difference-between-fractions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_represent_sub_greater_than_1_models_pt.png\" alt=\"Cross out Parts to Find the Difference Between Fractions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Cross out Parts to Find the Difference Between Fractions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/cross-out-to-find-the-difference-between-a-mixed-number-and-a-fraction\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/fractions_represent_sub_mixed_num_models_pt.png\" alt=\"Cross Out to FInd the Difference Between a Mixed Number and a Fraction Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Cross Out to FInd the Difference Between a Mixed Number and a Fraction Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/divide-by-numbers-that-lie-between-6-to-9\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/mult_div_pv_div_6_to_9_a_pt.png\" alt=\"Divide By Numbers that Lie Between 6 to 9 Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Divide By Numbers that Lie Between 6 to 9 Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-formula-for-distance-between-a-point-and-a-plane\">Formula for Distance between a Point and a Plane<\/h2>\n\n\n\n<p>The distance between the point $P(x_{0}, y_{0}, z_{0})$ and the plane with the equation<\/p>\n\n\n\n<p>$Ax + By + Cz + D = 0$ is given by the formula:&nbsp;<\/p>\n\n\n\n<p>$d =&nbsp; \\frac{|Ax_{0} + By_{0} + Cz_{0} + D|}{\\sqrt{A^{2} + B^{2} +C^{2}}}$<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/difference-between-mixed-number-and-fraction\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/difference-between-mixed-number-and-fraction.jpeg\" alt=\"Difference Between Mixed Number and Fraction Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/make-an-airplane-using-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/make-an-airplane-using-shapes.jpeg\" alt=\"Make an Airplane using Shapes Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/write-all-equivalent-fractions-of-marked-points\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/write-all-equivalent-fractions-of-marked-points.jpeg\" alt=\"Write All Equivalent Fractions of Marked Points Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/write-equivalent-fractions-represented-by-point\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/write-equivalent-fractions-represented-by-point.jpeg\" alt=\"Write Equivalent Fractions Represented by Point Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-how-to-find-the-distance-from-the-point-to-the-plane\">How to Find the Distance from the Point to the Plane<\/h2>\n\n\n\n<p>Now that we know the formula to calculate the shortest distance from point to plane, we simply substitute the values in the formula and simplify.<\/p>\n\n\n\n<p>$d =&nbsp; \\frac{|Ax_{0} + By_{0} + Cz_{0} + D|}{\\sqrt{A^{2} + B^{2} +C^{2}}}$<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Write down the values of $x_{0}, y_{0}, z_{0}$ from the coordinates of the point.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Write down the values of A, B,C, and D from the equation of plane.<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> To find the value in the numerator, replace the values of x, y, and z in the equation of the plane by by $x_{0}, y_{0}$, and $z_{0}$ respectively. Write the absolute value of the final answer.<\/p>\n\n\n\n<p><strong>Step 4: <\/strong>To find the value in the denominator, find the square root of the sum of squares of A, B, and C.&nbsp;<\/p>\n\n\n\n<p><strong>Step 5: <\/strong>Simplify.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-apply-the-distance-from-point-to-plane-formula\">How to Apply the Distance from Point to Plane Formula<\/h2>\n\n\n\n<p>Let\u2019s understand how to find the distance between a point and a plane with the help of an example.<\/p>\n\n\n\n<p><strong>Example: Determine the distance between the point <\/strong>$P = (3, 1, 2)$<strong> and the plane <\/strong>$3x + 4y + z + 3 = 0$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Comparing the coordinates of the point $P = (3, 1, 2)$ with<strong> <\/strong>$P = (x_{0}, y_{0}, z_{0})$, we get<\/p>\n\n\n\n<p>&nbsp;$x_{0} = 3, y_{0} = 1, z_{0} = 2$<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Comparing the equation of the plane $3x + 4y + z + 3 = 0$ with<\/p>\n\n\n\n<p>$Ax + By + Cz + D = 0$, we get<\/p>\n\n\n\n<p>$A = 3, B = 4, C = 1, D = 3$<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Substitute the values in the formula and simplify.<\/p>\n\n\n\n<p>We know that the formula for distance between point and plane is<\/p>\n\n\n\n<p>&nbsp;$d =&nbsp; \\frac{|Ax_{0} + By_{0} + Cz_{0} + D|}{\\sqrt{A^{2} + B^{2} +C^{2}}}$<\/p>\n\n\n\n<p>Substituting the values in the formula, we get<\/p>\n\n\n\n<p>$d = \\frac{|Ax_{0} + By_{0} + Cz_{0} + D|}{\\sqrt{A^{2} + B^{2} + C^{2}}}$<\/p>\n\n\n\n<p>$d = \\frac{|3 \\times 3 + 4 \\times 1 + 1 \\times 2 + 3|}{\\sqrt{(9 + 16 + 1)}}$<\/p>\n\n\n\n<p>$d = \\frac{|9 + 4 + 2 +&nbsp; 3|}{\\sqrt{9 + 16 + 1}}$<\/p>\n\n\n\n<p>$d = \\frac{18}{\\sqrt{26}}$<\/p>\n\n\n\n<p>$d\\;=\\;\\frac{9\\sqrt{26}}{13}$&nbsp;units<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-facts-about-distance-between-point-and-plane\">Facts about Distance between Point and Plane<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>If the given point lies on the given plane, then the distance (D) between the point and the plane is equal to zero.<\/li>\n\n\n\n<li>The distance between origin and plane&nbsp;$Ax + By + Cz + D = 0$ is given by<br>$d =&nbsp;\\frac{|D|}{\\sqrt{A^{2} + B^{2} +C^{2}}}$<\/li>\n\n\n\n<li>Distance between the point&nbsp;$P = (x_{0}, y_{0})$ and the line \u200b\u200b$Ax + By + C = 0$ is given by<br>$d = \\frac{| Ax_{0} + By_{0} + C |}{\\sqrt{A^{2} + B^{2}}}$<\/li>\n\n\n\n<li>Distance between the point (x, y, z) and the xy-plane is |z|.<\/li>\n\n\n\n<li>Distance between the point (x, y, z) and the yz-plane is |x|.<\/li>\n\n\n\n<li>Distance between the point (x, y, z) and the xz-plane is |y|.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned how to find the distance between a point and the plane, the formula, and application of the formula. Now, let&#8217;s solve some practice problems and examples for better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-solved-examples-on-distance-between-point-and-plane\">Solved Examples on Distance Between Point and Plane<\/h2>\n\n\n\n<p><strong>1. Find the distance between the point <\/strong>$(\\;-\\;5, \\;-\\;8, \\;-\\;6)$<strong> and the plane <\/strong>$\\;-\\;2\ud835\udc65 + \ud835\udc66 + 2\ud835\udc67 = 7$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>We know that the formula for distance between point and plane is:&nbsp;<\/p>\n\n\n\n<p>$d =&nbsp; \\frac{|Ax_{0} + By_{0} + Cz_{0} + D|}{\\sqrt{A^{2} + B^{2} +C^{2}}}$<\/p>\n\n\n\n<p>Here, $A = \\;-\\; 2, B = 1, C = 2, D = \\;-\\;7$,&nbsp;<\/p>\n\n\n\n<p>$x_{0} = \\;-\\;5, y_{0} = \\;-\\;8, z_{0} = \\;-\\;6$<\/p>\n\n\n\n<p>Substituting the values in the formula, we get<\/p>\n\n\n\n<p>$d =&nbsp; \\frac{|Ax_{0} + By_{0} + Cz_{0} + D|}{\\sqrt{A^{2} + B^{2} + C^{2}}}$<\/p>\n\n\n\n<p>$d&nbsp; =&nbsp; \\frac{|\\;-\\;2 \\times \\;-\\;5 + 1 \\times \\;-\\;8 + 2 \\times \\;-\\;6 + \\;-\\;7|}{\\sqrt{(4 + 1 + 4)}}$<\/p>\n\n\n\n<p>$d&nbsp; =&nbsp; \\frac{|(10) + (\\;-\\;8) + (\\;-\\;1 2) +&nbsp; \\;-\\;7|}{\\sqrt{9}}$<\/p>\n\n\n\n<p>$d =&nbsp; \\frac{|\\;-\\;17|}{\\sqrt{9}}$<\/p>\n\n\n\n<p>$d = 173$&nbsp; units<\/p>\n\n\n\n<p>The distance between the point $(\\;-\\;5, \\;-\\;8, \\;-\\;6)$ and the plane $\\;-\\;2\ud835\udc65 + \ud835\udc66 + 2\ud835\udc67 = 7$ is 173 units.<\/p>\n\n\n\n<p><strong>2. Find the distance between the point <\/strong>$(2,\\; -\\;1, 3)$<strong> and the plane <\/strong>$\\;-\\;2\ud835\udc65 + 2\ud835\udc66 + \ud835\udc67 = 3$.<\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>We know that the formula for distance between point and plane is:<\/p>\n\n\n\n<p>$d (P,\\pi ) =&nbsp; \\frac{|Ax_{0} + By_{0} + Cz_{0} + D|}{\\sqrt{A^{2} + B^{2} + C^{2}}}$<\/p>\n\n\n\n<p>$(x_{0}, y_{0}, z_{0}) = (2, \\;-\\;1 ,3)$,<\/p>\n\n\n\n<p>$\ud835\udc4e&nbsp; = \\;\u2212\\;2, \ud835\udc4f = 2, \ud835\udc50 = 1$, and $\ud835\udc51 = \\;-\\;3$<\/p>\n\n\n\n<p>Substituting these values, we get<\/p>\n\n\n\n<p>$\ud835\udc51&nbsp; =&nbsp; \\frac{(\\;\u2212\\;2)(2) + (2)(\\;\u2212\\;1) + (1)(3) \\;\u2212\\; 3}{\\sqrt{(4 + 4 + 1)}}$<\/p>\n\n\n\n<p>$\ud835\udc51 =&nbsp; \\frac{|(\\;-\\;4) + (\\;-\\;2) +(3) +&nbsp; \\;-\\;3|}{\\sqrt{9}}$<\/p>\n\n\n\n<p>$\ud835\udc51 =&nbsp; \\frac{|-6|}{\\sqrt{9}}$&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p>$\ud835\udc51 = \\frac{6}{3}$<\/p>\n\n\n\n<p>$\ud835\udc51 =&nbsp; 2$ units<\/p>\n\n\n\n<p><strong>3. Find the distance from the point (1, 2, 0) to the plane <\/strong>$3x \\;-\\; 4y \\;-\\; 5z \\;-\\; 2 = 0$<strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>We know that the formula for distance between point and plane is:<\/p>\n\n\n\n<p>$d (P,\\pi ) =&nbsp; \\frac{|Ax_{0} + By_{0} + Cz_{0} + D|}{\\sqrt{A^{2} + B^{2} + C^{2}}}$<\/p>\n\n\n\n<p>Here, $A = 3,\\; B = \\;-\\;4,\\; C = \\;-\\;5, D = \\;-\\;2, x_{0} = 1,\\; y_{0} = 2, z_{0} = 0$<\/p>\n\n\n\n<p>Substituting the values in the formula, we get<\/p>\n\n\n\n<p>$d&nbsp; =&nbsp; \\frac{|Ax_{0} + By_{0} + Cz_{0} + D|}{\\sqrt{A^{2} + B^{2} + C^{2}}}$<\/p>\n\n\n\n<p>$d =&nbsp; \\frac{|3 \\times 1 + (\\;\u2212\\;4) \\times 2 + (\\;\u2212\\;5) \\times 0 \\;\u2212\\; 2|}{\\sqrt{3^{2} + (\\;-\\;4)^{2} + (\\;\u2212\\;5)^{2}}}$<\/p>\n\n\n\n<p>$d&nbsp; =&nbsp; \\frac{|(3) + (\\;-\\;8) +(0) \\;-\\;2|}{\\sqrt{9 + 16 + 25}}$<\/p>\n\n\n\n<p>$d =&nbsp; \\frac{7}{\\sqrt{50}}$<\/p>\n\n\n\n<p>$d = \\sqrt{7}{5\\sqrt{2}}$&nbsp; units<\/p>\n\n\n\n<p>&nbsp;The distance from the point (1, 2, 0) to the plane $3x \\;-\\; 4y \\;-\\; 5z \\;-\\; 2 = 0$ is $\\frac{7}{5\\sqrt{2}}$&nbsp; units<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-practice-problems-on-distance-between-point-and-plane\">Practice Problems on Distance between Point and Plane<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Distance Between Point and Plane: Definition, Formula, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The shortest distance from a point to a plane is the length of the __________ to the plane drawn from the point.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">perpendicular<\/div><div class=\"spq_answer_block\" data-value=\"1\">Line segment<\/div><div class=\"spq_answer_block\" data-value=\"2\">adjacent<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: perpendicular<br\/>The shortest distance from a point to a plane is the length of a perpendicular to the plane.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">If the given point lies on the given plane, then the distance between the point and the plane is equal to _______.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2<\/div><div class=\"spq_answer_block\" data-value=\"1\">1<\/div><div class=\"spq_answer_block\" data-value=\"2\">0<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 2<br\/>If the given point lies on the given plane, then the distance between the point and the plane is equal to zero.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Distance between the point (1, 2, 3) and xy - plane is _______<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1<\/div><div class=\"spq_answer_block\" data-value=\"1\">2<\/div><div class=\"spq_answer_block\" data-value=\"2\">3<\/div><div class=\"spq_answer_block\" data-value=\"3\">0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 3<br\/>Distance between the point (x, y, z) and xy - plane is | z | = 3 units.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The formula for distance between origin and plane $Ax + By + Cz + D = 0$ is<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{|D|}{\\sqrt{A^{2} + B^{2} + C^{2}}}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{|Ax_{0} + By_{0} + Cz_{0} + D|}{\\sqrt{A^{2} + B^{2} + C^{2}}}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{| D |}{\\sqrt{A^{2} \\;-\\; B^{2} \\;-\\;C^{2}}}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$|D|$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{|D|}{\\sqrt{A^{2} + B^{2} + C^{2}}}$<br\/>The distance between point and plane is calculated using the formula:<br>\r\n$d =  \\frac{|D|}{\\sqrt{A^{2} + B^{2} + C^{2}}}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Distance Between Point and 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\"$$\\\\frac{|Ax_{0} + By_{0} + Cz_{0} + D|}{\\\\sqrt{A^{2} + B^{2} + C^{2}}}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The distance between point and plane is calculated using the formula:<br>\r\n$$d =  \\\\frac{|D|}{\\\\sqrt{A^{2} + B^{2} + C^{2}}}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{| D |}{\\\\sqrt{A^{2} \\\\;-\\\\; B^{2} \\\\;-\\\\;C^{2}}}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The distance between point and plane is calculated using the formula:<br>\r\n$$d =  \\\\frac{|D|}{\\\\sqrt{A^{2} + B^{2} + C^{2}}}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$|D|$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The distance between point and plane is calculated using the formula:<br>\r\n$$d =  \\\\frac{|D|}{\\\\sqrt{A^{2} + B^{2} + C^{2}}}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{|D|}{\\\\sqrt{A^{2} + B^{2} + C^{2}}}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The distance between point and plane is calculated using the formula:<br>\r\n$$d =  \\\\frac{|D|}{\\\\sqrt{A^{2} + B^{2} + C^{2}}}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The distance between point and plane is calculated using the formula:<br>\r\n$$d =  \\\\frac{|D|}{\\\\sqrt{A^{2} + B^{2} + C^{2}}}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-frequently-asked-questions-about-the-distance-between-point-and-plane\">Frequently Asked Questions about the Distance between Point and Plane<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\"><strong>What is the formula for finding the distance between two points?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\">\n\n<p>The distance between two points with coordinates $(x_{1}, y_{1}, z_{1})$ and $(x_{2}, y_{2}, z_{2})$ is defined by the distance formula d = \\sqrt{(x_{2}\\;-\\;x_{1})^{2} + (y_{2}\\;-\\;y_{1})^{2} + (z_{2}\\;-\\;z_{1})^{2}}$.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\"><strong>What is the distance between a point and the XZ plane?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\">\n\n<p>The distance between a point $(x_{0}, y_{0}, z_{0})$ and <strong>&nbsp;x &#8211; z <\/strong>&nbsp;plane is given by the absolute value of the y-coordinate, $| y_{0}|$.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\"><strong>What is the distance between point and plane when the point lies on the given plane?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\">\n\n<p>If the given point lies on the given plane, it satisfies the equation of the plane, and thus the distance between the plane and the point on the plane is zero.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\"><strong>What is the shortest distance between a point to a plane?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-b4dbfdd5-ed6b-4fd3-99e3-ca87617f9129\">\n\n<p>The shortest distance from a point to a plane is the length of the perpendicular drawn from the point to the plane.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Distance between Point and Plane? The distance between a point and a plane is equal to the length of the perpendicular drawn to the plane from the given point. You can draw an infinite number of line segments from a given point to a plane. However, the distance between a point and &#8230; <a title=\"Distance Between Point and Plane: Definition, Formula, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/distance-between-point-and-plane\" aria-label=\"More on Distance Between Point and Plane: Definition, Formula, Examples, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-32647","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32647","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=32647"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32647\/revisions"}],"predecessor-version":[{"id":39955,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32647\/revisions\/39955"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=32647"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=32647"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=32647"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}