{"id":153854,"date":"2022-03-25T22:53:09","date_gmt":"2022-03-25T17:23:09","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/equation-of-a-plane-passing-through-3-non-collinear-points\/"},"modified":"2023-01-02T18:28:23","modified_gmt":"2023-01-02T12:58:23","slug":"equation-of-a-plane-passing-through-3-non-collinear-points","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/equation-of-a-plane-passing-through-3-non-collinear-points\/","title":{"rendered":"Equation of a Plane Passing Through 3 Non Collinear Points"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equation-of-a-plane-passing-through-3-non-collinear-points\/#Non-Collinear_Points_-_Equation_of_Plane\" title=\"Non-Collinear Points &#8211; Equation of Plane\">Non-Collinear Points &#8211; Equation of Plane<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equation-of-a-plane-passing-through-3-non-collinear-points\/#Perpendicular_Planes_to_Vectors_and_Points\" title=\"Perpendicular Planes to Vectors and Points\">Perpendicular Planes to Vectors and Points<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equation-of-a-plane-passing-through-3-non-collinear-points\/#Equation_of_Plane_Passing_through_3_Non-Collinear_Points\" title=\"Equation of Plane Passing through 3 Non-Collinear Points\">Equation of Plane Passing through 3 Non-Collinear Points<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Non-Collinear_Points_-_Equation_of_Plane\"><\/span>Non-Collinear Points &#8211; Equation of Plane<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three non-collinear points, \\(A, B,\\) and \\(C\\) in the plane. The equation of the plane passing through these points is:<\/p>\n<p>\\[ ax + by + cz = d, \\]\n<p>where \\(a, b,\\) and \\(c\\) are the coordinates of points \\(A, B,\\) and \\(C,\\) respectively, and \\(d\\) is the distance between points \\(A\\) and \\(B,\\) points \\(B\\) and \\(C,\\) or points \\(C\\) and \\(A\\).<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-153853 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equation-of-a-plane-passing-through-3-non-collinear-points-300x212.jpg\" alt=\"Equation of a Plane Passing Through 3 Non Collinear Points\" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equation-of-a-plane-passing-through-3-non-collinear-points-300x212.jpg?v=1648228986 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equation-of-a-plane-passing-through-3-non-collinear-points.jpg?v=1648228986 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Perpendicular_Planes_to_Vectors_and_Points\"><\/span>Perpendicular Planes to Vectors and Points<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Perpendicular planes to vectors and points are planes that intersect a vector or point at a right angle. This means that the plane is perpendicular to the vector or point, and the angle between the plane and the vector or point is 90 degrees.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Equation_of_Plane_Passing_through_3_Non-Collinear_Points\"><\/span>Equation of Plane Passing through 3 Non-Collinear Points<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The equation of a plane passing through three non-collinear points is \\begin{align*}Ax + By + Cz = D\\end{align*}, where A, B, C, and D are real numbers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Non-Collinear Points &#8211; Equation of Plane There are three non-collinear points, \\(A, B,\\) and \\(C\\) in the plane. The equation [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Equation of a Plane Passing Through 3 Non Collinear Points","_yoast_wpseo_title":"Equation of a Plane Passing Through 3 Non Collinear Points","_yoast_wpseo_metadesc":"Learn about Equation of a Plane Passing Through 3 Non Collinear Points topic of Maths in details explained on infinitylearn.com.","custom_permalink":"maths\/equation-of-a-plane-passing-through-3-non-collinear-points\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Equation of a Plane Passing Through 3 Non Collinear Points<\/title>\n<meta name=\"description\" content=\"Learn about Equation of a Plane Passing Through 3 Non Collinear Points topic of Maths in details explained on 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