{"id":276,"date":"2023-07-10T00:23:44","date_gmt":"2023-07-10T00:23:44","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d8%b3%d8%a7%d9%81%d8%a9-%d9%85%d9%86-%d8%ae%d8%b7-%d8%a5%d9%84%d9%89-%d9%85%d8%b3%d8%aa%d9%88%d9%89-%d9%81%d9%8a-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/"},"modified":"2023-07-10T00:23:44","modified_gmt":"2023-07-10T00:23:44","slug":"%d8%a7%d9%84%d9%85%d8%b3%d8%a7%d9%81%d8%a9-%d9%85%d9%86-%d8%ae%d8%b7-%d8%a5%d9%84%d9%89-%d9%85%d8%b3%d8%aa%d9%88%d9%89-%d9%81%d9%8a-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d8%b3%d8%a7%d9%81%d8%a9-%d9%85%d9%86-%d8%ae%d8%b7-%d8%a5%d9%84%d9%89-%d9%85%d8%b3%d8%aa%d9%88%d9%89-%d9%81%d9%8a-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/","title":{"rendered":"\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u062e\u0637 \u0625\u0644\u0649 \u0645\u0633\u062a\u0648\u0649 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u0627\u0644\u062e\u0637 \u0625\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-distancia-de-una-recta-a-un-plano\"><\/span> \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0637\u0627\u0626\u0631\u0629\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629\u060c \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0647\u0630\u064a\u0646 \u0627\u0644\u0639\u0646\u0635\u0631\u064a\u0646 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u064a\u0646:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 <strong>\u0643\u0627\u0646 \u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645 \u062f\u0627\u062e\u0644 \u0627\u0644\u0645\u0633\u062a\u0648\u0649<\/strong> \u0623\u0648 \u0643\u0627\u0646 <strong>\u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0641\u0625\u0646<\/strong> \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u062a\u064a \u062a\u0641\u0635\u0644 \u0628\u064a\u0646\u0647\u0645\u0627 \u062a\u0633\u0627\u0648\u064a \u0635\u0641\u0631\u0627\u064b.<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 <strong>\u0643\u0627\u0646 \u0627\u0644\u062e\u0637 \u0645\u0648\u0627\u0632\u064a\u0627 \u0644\u0644\u0645\u0633\u062a\u0648\u0649<\/strong> \u060c \u064a\u062a\u0645 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u0627\u0644\u062e\u0637 \u0625\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0623\u062e\u0630 \u0623\u064a \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637 \u0648\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629 \u0625\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. <\/li>\n<\/ul>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/distance-entre-une-ligne-et-un-plan.webp\" alt=\"\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u062e\u0637 \u0625\u0644\u0649 \u0645\u0633\u062a\u0648\u0649 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621\" class=\"wp-image-4062\" width=\"459\" height=\"252\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u062e\u0637 \u0625\u0644\u0649 \u0645\u0633\u062a\u0648\u0649\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0623\u0646 \u062a\u0639\u0631\u0641 \u0643\u064a\u0641\u064a\u0629 \u062a\u062d\u062f\u064a\u062f <a href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0645\u0648\u0627\u0642\u0641-\u0627\u0644\u0646\u0633\u0628\u064a\u0629-\u0644\u0644\u062e\u0637-\u0648\u0627\u0644\u0637\u0627\u064a\u0654\u0631\u0629\/\">\u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649<\/a> \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 <a href=\"https:\/\/mathority.org\/ar\">\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u0629 \u0648\u0645\u0633\u062a\u0648\u0649<\/a> . \u0644\u0630\u0627\u060c \u0625\u0630\u0627 \u0644\u0645 \u062a\u0643\u0646 \u0648\u0627\u0636\u062d\u064b\u0627 \u062a\u0645\u0627\u0645\u064b\u0627 \u0623\u0648 \u0644\u0627 \u062a\u0639\u0631\u0641 \u0627\u0644\u0635\u064a\u063a\u060c \u0646\u0646\u0635\u062d\u0643 \u0628\u0625\u0644\u0642\u0627\u0621 \u0646\u0638\u0631\u0629 \u0623\u0648\u0644\u0627\u064b \u0639\u0644\u0649 \u0627\u0644\u0635\u0641\u062d\u0627\u062a \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629\u060c \u062d\u064a\u062b \u0633\u062a\u062c\u062f \u0634\u0631\u0648\u062d\u0627\u062a \u0648\u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-calcular-la-distancia-entre-una-recta-y-un-plano\"><\/span> \u0645\u062b\u0627\u0644 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0643\u064a \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0645\u0639\u0631\u0641\u0629 \u0643\u064a\u0641\u064a\u0629 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0641\u064a R3)\u060c \u0633\u0646\u062d\u0644 \u0645\u0633\u0623\u0644\u0629 \u0643\u0645\u062b\u0627\u0644:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0643\u0645 \u064a\u0628\u0639\u062f \u0627\u0644\u062e\u0637\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0639\u0644\u0649 \u0645\u062a\u0646 \u0627\u0644\u0637\u0627\u0626\u0631\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-26d6788550ffd50fe94542bb3e8ee615_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u061f<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4785f2386b4ff9387b56cf8c5645c62d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}x=-2+t \\\\[1.7ex] y=1-3t \\\\[1.7ex] z=-1+2t\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"137\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d8872d79c59216f4a8489f75a751cdb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi : \\ 4x+2y+z-6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"184\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0639\u0644\u064a\u0643 \u0623\u0648\u0644\u0627\u064b \u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0627\u0644\u0627\u062b\u0646\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u0645\u0646 \u0646\u0627\u062d\u064a\u0629\u060c \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062e\u0637 \u0639\u0644\u0649 \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629\u060c \u0628\u062d\u064a\u062b \u064a\u0643\u0648\u0646 \u0645\u062a\u062c\u0647 \u0627\u062a\u062c\u0627\u0647\u0647 \u0648\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u064a \u064a\u0645\u0631 \u0639\u0628\u0631\u0647\u0627 \u0647\u0645\u0627:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0765b71f9eead3b644fd5de150cdf321_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{v}}_r =(1,-3,2) \\\\[2ex] P(-2,1,-1) \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"154\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0639\u0645\u0648\u062f\u064a \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f4fe9c16b8d08778c89ab62afcd8e34e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{n} =(4,2,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"90\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0648\u0627\u0644\u062e\u0637\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0646\u062a\u062c \u0627\u0644\u0642\u064a\u0627\u0633\u064a \u0628\u064a\u0646 \u0645\u062a\u062c\u0647 \u0627\u062a\u062c\u0627\u0647 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0639\u0645\u0648\u062f\u064a \u0644\u0644\u0645\u0633\u062a\u0648\u0649:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-39d2d450c32a6fdf3182a3d16cc18116_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\vv{\\text{v}}_r \\cdot \\vv{n} &amp; = (1,-3,2) \\cdot (4,2,1) \\\\[2ex] &amp; = 1 \\cdot 4-3 \\cdot 2 +2\\cdot 1 \\\\[2ex] &amp;= 4 -6 +2 \\\\[2ex] &amp; = 0\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"140\" width=\"202\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0646\u0642\u0637\u064a \u0647\u064a \u0635\u0641\u0631\u060c \u0644\u0630\u0644\u0643 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0627\u062d\u062a\u0648\u0627\u0621 \u0627\u0644\u062e\u0637 \u0625\u0644\u0627 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0623\u0648 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0645\u0648\u0627\u0632\u064a\u064b\u0627 \u0644\u0647. \u0644\u0630\u0627\u060c \u0644\u0645\u0639\u0631\u0641\u0629 \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0646\u0639\u0648\u0636 \u0628\u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a\u0629 \u0644\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0648\u0627\u0642\u0639\u0629 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637 \u0641\u064a \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e4916138781ab0b14c0b827b212fdd98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x+2y+z-6=0 \\ \\xrightarrow{P(-2,1,-1)} \\ 4\\cdot (-2) +2\\cdot 1 -1-6= 0\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"460\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-15f3d9b73d0b2646f6d0173989e7b20a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-8+2-1-6 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"146\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d93d0450119c6530b10ed45266e017e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-13 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"63\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u062a\u0639\u0648\u064a\u0636 \u0646\u0642\u0637\u0629 \u0627\u0644\u062e\u0637 \u0641\u064a \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0639\u062f\u0645 \u0645\u0633\u0627\u0648\u0627\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 \u0644\u0627 \u062a\u062d\u062a\u0631\u0645 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0643\u0648\u0646 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0639\u0631\u0641\u0646\u0627 \u0623\u0646 \u0627\u0644\u062e\u0637 \u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0645\u062a\u0648\u0627\u0632\u064a\u0627\u0646\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0622\u0646 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0628\u064a\u0646\u0647\u0645\u0627. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u0623\u062e\u0630 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0648\u0627\u0642\u0639\u0629 \u0639\u0644\u0649 \u0627\u0644\u062e\u0637 \u0648\u0646\u062d\u0633\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629 \u0625\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4413892ee4946e8c956d69a16a8d43ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(-2,1,-1) \\qquad \\qquad \\pi: \\ 4x+2y+z-6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"353\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0646\u0633\u062a\u062e\u062f\u0645 \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u0646\u0642\u0637\u0629 \u0625\u0644\u0649 \u0645\u0633\u062a\u0648\u0649:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7fa5cd77905fa8723448de603b90b705_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert A\\cdot x_0+B\\cdot y_0+C\\cdot z_0+D\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"300\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0646\u0639\u0648\u0636 \u0628\u0642\u064a\u0645\u0629 \u0643\u0644 \u0645\u062c\u0647\u0648\u0644 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-beb8f4629b0195d8ea0870d678585895_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert 4\\cdot (-2)+2\\cdot 1+1\\cdot (-1)-6\\rvert}{\\sqrt{4^2+2^2+1^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"310\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u0627 \u0646\u0642\u0648\u0645 \u0628\u062a\u0646\u0641\u064a\u0630 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-570743258f771c18a79b360b80b6a462_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert -8+2-1-6\\rvert}{\\sqrt{16+4+1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"204\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3ea97bcf06817734423f2e6e662a1658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert -13\\rvert}{\\sqrt{21}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"121\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0a19bec182b20b9b1a5a08b41cd817c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{13}{\\sqrt{21}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"112\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u062d\u064a\u062b \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u062a\u0639\u0627\u062f\u0644 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0645\u062d\u0633\u0648\u0628\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82d2055df31134bca62040c367778b50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{d(r,\\pi)=d(P,\\pi) = }\\cfrac{\\bm{13}}{\\bm{\\sqrt{21}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"180\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u064a\u062c\u0628 \u0623\u0646 \u062a\u0639\u0637\u064a\u0646\u0627 \u062f\u0627\u0626\u0645\u064b\u0627 \u0642\u064a\u0645\u0629 \u0625\u064a\u062c\u0627\u0628\u064a\u0629\u060c \u0644\u0623\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0627\u062a \u062f\u0627\u0626\u0645\u064b\u0627 \u0625\u064a\u062c\u0627\u0628\u064a\u0629. \u0625\u0630\u0627 \u062d\u0635\u0644\u0646\u0627 \u0639\u0644\u0649 \u0646\u062a\u064a\u062c\u0629 \u0633\u0644\u0628\u064a\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0646\u0627 \u0627\u0631\u062a\u0643\u0628\u0646\u0627 \u062e\u0637\u0623 \u0623\u062b\u0646\u0627\u0621 \u0627\u062a\u062e\u0627\u0630 \u062e\u0637\u0648\u0629 \u0645\u0627.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u0627\u0644\u062e\u0637 \u0625\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0648\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0637\u0627\u0626\u0631\u0629\u061f \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629\u060c \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u062e\u0637 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0647\u0630\u064a\u0646 \u0627\u0644\u0639\u0646\u0635\u0631\u064a\u0646 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u064a\u0646: \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645 \u062f\u0627\u062e\u0644 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0623\u0648 \u0643\u0627\u0646 \u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d8%b3%d8%a7%d9%81%d8%a9-%d9%85%d9%86-%d8%ae%d8%b7-%d8%a5%d9%84%d9%89-%d9%85%d8%b3%d8%aa%d9%88%d9%89-%d9%81%d9%8a-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1\/\"> <span class=\"screen-reader-text\">\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u062e\u0637 \u0625\u0644\u0649 \u0645\u0633\u062a\u0648\u0649 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[15],"tags":[],"class_list":["post-276","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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