{"id":260,"date":"2023-07-10T08:10:10","date_gmt":"2023-07-10T08:10:10","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%85%d8%b3%d8%a7%d9%81%d8%a9-%d8%a8%d9%8a%d9%86-%d8%b7%d8%a7%d8%a6%d8%b1%d8%aa%d9%8a%d9%86\/"},"modified":"2023-07-10T08:10:10","modified_gmt":"2023-07-10T08:10:10","slug":"%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%85%d8%b3%d8%a7%d9%81%d8%a9-%d8%a8%d9%8a%d9%86-%d8%b7%d8%a7%d8%a6%d8%b1%d8%aa%d9%8a%d9%86","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%85%d8%b3%d8%a7%d9%81%d8%a9-%d8%a8%d9%8a%d9%86-%d8%b7%d8%a7%d8%a6%d8%b1%d8%aa%d9%8a%d9%86\/","title":{"rendered":"\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646 (\u0627\u0644\u0635\u064a\u063a\u0629)"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u0648\u0641 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style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0648\u0625\u0630\u0627 <strong>\u062a\u0642\u0627\u0637\u0639<\/strong> \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u0646 \u0623\u0648 <strong>\u062a\u0637\u0627\u0628\u0642\u0627<\/strong> \u0641\u0625\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646\u0647\u0645\u0627 \u062a\u0643\u0648\u0646 \u0635\u0641\u0631\u0627\u064b \u0644\u0623\u0646\u0647\u0645\u0627 \u064a\u062a\u0642\u0627\u0637\u0639\u0627\u0646 \u0641\u064a \u0646\u0642\u0637\u0629 \u0645\u0627.<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u0646 <strong>\u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646<\/strong> \u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0639\u0646 \u0637\u0631\u064a\u0642 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href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0645\u0648\u0642\u0639-\u0627\u0644\u0646\u0633\u0628\u064a-\u0644\u0637\u0627\u064a\u0654\u0631\u062a\u064a\u0646-\u0641\u064a-\u0627\u0644\u0641\u0636\u0627\u0621-r3-\u0627\u0654\u0645\u062b\u0644\u0629-\u062a\u0645\u0627\u0631\u064a\u0646-\u0645\u062d\u0644\u0648\u0644\u0629\/\">\u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0637\u0627\u0626\u0631\u062a\u064a\u0646<\/a> . \u0625\u0630\u0627 \u0644\u0645 \u062a\u0643\u0646 \u0648\u0627\u0636\u062d\u064b\u0627 \u062a\u0645\u0627\u0645\u064b\u0627 \u0628\u0634\u0623\u0646 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0641\u0646\u0648\u0635\u064a\u0643 \u0628\u0625\u0644\u0642\u0627\u0621 \u0646\u0638\u0631\u0629 \u0639\u0644\u0649 \u0627\u0644\u0631\u0627\u0628\u0637\u060c \u062d\u064a\u062b 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src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/distance-entre-deux-plans-paralleles.webp\" alt=\"\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u062a\u064a\u0646\" class=\"wp-image-2647\" width=\"401\" height=\"234\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627 \u0641\u0625\u0646 \u0635\u064a\u063a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0647\u064a: <\/p>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;;text-align:right;direction:rtl\">\n<p style=\"text-align:left;text-align:right;direction:rtl\"> \u062e\u0630 \u0628\u0639\u064a\u0646 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646\u060c \u0645\u0639 \u0648\u062c\u0648\u062f \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0623\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 (\u0623\u0648 \u0627\u0644\u0636\u0645\u0646\u064a\u0629) \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0622\u062e\u0631:<\/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-224b2b4bb57594d3fa92e148ada43cbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x_0,y_0,z_0) \\qquad \\qquad \\pi: \\ Ax+By+Cz+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"379\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left;text-align:right;direction:rtl\"> <strong>\u0635\u064a\u063a\u0629 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646<\/strong> \u064a\u0645\u0631\u0627\u0646 \u0628\u0646\u0642\u0637\u0629 \u0623\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0622\u062e\u0631 \u0647\u064a:<\/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<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0630\u0647 \u0635\u064a\u063a\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u064a \u0628\u0639\u0636 \u0627\u0644\u0623\u062d\u064a\u0627\u0646 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0637\u0631\u064a\u0642\u0629 \u0623\u062e\u0631\u0649 \u0623\u0628\u0633\u0637:<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a A \u0648B \u0648C \u0644\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0636\u0645\u0646\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0639\u0627\u0645\u0629) \u0644\u0644\u062e\u0637\u062a\u064a\u0646 \u0645\u062a\u0646\u0627\u0633\u0628\u0629. \u062d\u0633\u0646\u064b\u0627\u060c \u0625\u0630\u0627 \u0648\u062c\u062f\u0646\u0627 \u0641\u064a \u0645\u0633\u0623\u0644\u0629 \u0645\u0627 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u0639\u0627\u0645\u0644\u0627\u062a\u0647\u0645\u0627 A \u0648B \u0648C \u0645\u062a\u0645\u0627\u062b\u0644\u0629 \u062a\u0645\u0627\u0645\u064b\u0627\u060c \u0641\u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u0623\u062e\u0631\u0649 \u062f\u0648\u0646 \u0627\u0644\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u0645\u0639\u0631\u0641\u0629 \u0623\u064a \u0646\u0642\u0637\u0629 \u0641\u064a \u0623\u064a \u0645\u0633\u062a\u0648\u0649: <\/p>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;;text-align:right;direction:rtl\">\n<p style=\"text-align:left;text-align:right;direction:rtl\"> \u062e\u0630 \u0628\u0639\u064a\u0646 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0639\u0627\u0645\u0629 (\u0623\u0648 \u0627\u0644\u0636\u0645\u0646\u064a\u0629) \u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 <strong>\u0628\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0645\u062a\u0637\u0627\u0628\u0642\u0629 A \u0648 B \u0648 C<\/strong> :<\/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-a277aae741d0cfe8200b7c338f57343f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ Ax+By+Cz+D_1=0 \\qquad \\qquad  \\pi_2 : \\ Ax+By+Cz+D_2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"528\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\"text-align:left;text-align:right;direction:rtl\"> <strong>\u0635\u064a\u063a\u0629 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646<\/strong> \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0647\u064a:<\/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-3f78d3a0f1fd3a6c00acfd51c160dc8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert D_2-D_1\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"202\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0646\u0647\u0627\u064a\u0629\u060c \u0647\u0646\u0627\u0643 \u0637\u0631\u064a\u0642\u062a\u0627\u0646 \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646. \u0627\u0644\u0623\u0648\u0644 \u064a\u0643\u0648\u0646 \u0623\u0643\u062b\u0631 \u0641\u0627\u0626\u062f\u0629 \u0639\u0646\u062f\u0645\u0627 \u0646\u0639\u0631\u0641 \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0623\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646. \u0644\u0643\u0646 \u0625\u0630\u0627 \u0639\u0631\u0641\u0646\u0627 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0641\u0645\u0646 \u0627\u0644\u0623\u0641\u0636\u0644 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-la-distancia-entre-dos-planos-paralelos\"><\/span> \u0645\u062b\u0627\u0644 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u062a\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u0648\u0641 \u0646\u062d\u0633\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u064a\u0646:<\/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-a9cd1abd1a84a5a230fb855c75c59e11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ 4x-2y-4z+7=0 \\qquad \\qquad  \\pi_2 : \\ 8x-4y-8z+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"471\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u064b\u0627 \u0623\u0646 \u0646\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646\u0646\u0627 \u0646\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u062a\u064a\u0646. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u062c\u0645\u064a\u0639 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629 \u0645\u062a\u0646\u0627\u0633\u0628\u0629 \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629\u060c \u0644\u0630\u0627 \u0641\u0647\u0645\u0627 \u0645\u0633\u062a\u0648\u064a\u0627\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u0627\u0646 \u0641\u0639\u0644\u064a\u064b\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-e13f3d3e18910312a6604d299010da6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4}{8}=\\cfrac{-2}{-4}=\\cfrac{-4}{-8}\\neq \\cfrac{7}{2} \\quad \\longrightarrow \\quad \\pi_1 \\parallel \\pi_2\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"283\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0644\u0627 \u062a\u062a\u0637\u0627\u0628\u0642 \u0645\u0635\u0637\u0644\u062d\u0627\u062a A \u0648B \u0648C \u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646\u060c \u0644\u0643\u0646 \u064a\u0645\u0643\u0646\u0646\u0627 \u062a\u062d\u0642\u064a\u0642 \u0630\u0644\u0643 \u0628\u0642\u0633\u0645\u0629 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062b\u0627\u0646\u064a \u0628\u0623\u0643\u0645\u0644\u0647\u0627 \u0639\u0644\u0649 \u0627\u062b\u0646\u064a\u0646:<\/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-d159a803fe606b074b2fbafbf792829d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ \\cfrac{8x-4y-8z+2}{2}=\\cfrac{0}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"204\" style=\"vertical-align: -12px;\"><\/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-0098cb52d72e1305e5cc6daee535dee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ 4x-2y-4z+1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"200\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627 \u0641\u0625\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0644\u0647\u0627 \u0627\u0644\u0622\u0646 \u0646\u0641\u0633 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a A \u0648B \u0648C. \u0644\u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0628\u0633\u0647\u0648\u0644\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646:<\/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-3f78d3a0f1fd3a6c00acfd51c160dc8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert D_2-D_1\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"202\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0633\u062a\u0628\u062f\u0644 \u0627\u0644\u0642\u064a\u0645 \u0648\u0646\u062d\u0644 \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-ebaa9342424e4e1c6df12cac1f2658fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert 1-7\\rvert}{\\sqrt{4^2+(-2)^2+(-4)^2}}= \\cfrac{\\lvert -6\\rvert}{\\sqrt{36}} = \\cfrac{6}{6} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"369\" style=\"vertical-align: -20px;\"><\/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 <a href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0647\u0646\u062f\u0633\u0629-\u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629\/\">\u0623\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646<\/a> \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0622\u062e\u0631 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0648\u062d\u062f\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-distancia-entre-dos-planos\"><\/span> \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u064a\u0646: <\/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-b51c64f5f5d25771ee1eb45d8e37e2f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ 2x-y+5z-3=0 \\qquad \\qquad  \\pi_2 : \\ 2x-y+5z-7=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"453\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u064b\u0627 \u0623\u0646 \u0646\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646\u0646\u0627 \u0646\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u062a\u064a\u0646. \u062c\u0645\u064a\u0639 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u062a\u0646\u0627\u0633\u0628\u0629 \u0628\u0627\u0633\u062a\u062b\u0646\u0627\u0621 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629\u060c \u0641\u0647\u0645\u0627 \u0645\u0633\u062a\u0648\u064a\u0627\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u0627\u0646 \u0628\u0627\u0644\u0641\u0639\u0644.<\/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-4c520445614ecabfaf8a1bda841afa65_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2}{2}=\\cfrac{-1}{-1}=\\cfrac{5}{5} \\neq \\cfrac{-3}{-7} \\quad \\longrightarrow \\quad \\pi_1 \\parallel \\pi_2\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"283\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0633\u0646\u062d\u0633\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0628\u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0628\u0627\u0634\u0631\u0629\u060c \u062d\u064a\u062b \u0623\u0646 \u0645\u0639\u0627\u0645\u0644\u0627\u062a\u0647\u0645\u0627 A \u0648B \u0648C \u0645\u062a\u0633\u0627\u0648\u064a\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-3f78d3a0f1fd3a6c00acfd51c160dc8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert D_2-D_1\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"202\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0646\u0633\u062a\u0628\u062f\u0644 \u0627\u0644\u0642\u064a\u0645 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629 \u0648\u0646\u062c\u0631\u064a \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-c107ce392f40f085eadf58283ea31fc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert -7-3\\rvert}{\\sqrt{2^2+(-1)^2+5^2}}= \\cfrac{\\lvert -10\\rvert}{\\sqrt{30}} = \\cfrac{\\bm{10}}{\\bm{\\sqrt{30}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"343\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u064a\u0646: <\/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-b2bbc524fea8b844e21f44241034b21c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ 3x-2y+6z+4=0 \\qquad \\qquad  \\pi_2 : \\ 6x-4y+3z+1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"471\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0623\u0648\u0644\u064b\u0627\u060c \u064a\u062c\u0628 \u0623\u0646 \u0646\u062a\u062d\u0642\u0642 \u0645\u0646 \u0623\u0646\u0647\u0645\u0627 \u0645\u0633\u062a\u0648\u064a\u0627\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u0627\u0646 \u062d\u062a\u0649 \u0646\u062a\u0645\u0643\u0646 \u0645\u0646 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u062a\u064a \u062a\u0641\u0635\u0644 \u0628\u064a\u0646\u0647\u0645\u0627. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0646\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u062a\u0646\u0627\u0633\u0628 \u0628\u064a\u0646 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u062a\u064a\u0646:<\/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-3abd37199c65d756bb9c892bf56f0f2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3}{6}=\\cfrac{-2}{-4}\\neq\\cfrac{6}{3} \\neq \\cfrac{4}{1} \\quad \\longrightarrow \\quad \\pi_1 \\ \\cancel{\\parallel} \\ \\pi_2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"263\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0643\u0646 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a A \u0648B \u0648C \u0644\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u063a\u064a\u0631 \u0645\u062a\u0646\u0627\u0633\u0628\u0629\u060c \u0641\u0642\u0637 \u0627\u0644\u0645\u0639\u0644\u0645\u0627\u062a A \u0648B. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0644\u064a\u0633\u0627 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0648\u0644\u0643\u0646\u0647\u0645\u0627 \u0645\u062a\u0642\u0627\u0637\u0639\u0627\u0646\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646\u0647\u0645\u0627 \u062a\u0633\u0627\u0648\u064a 0: <\/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-c2ceb0ff96abef105348fa5660ba4fa9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{d(\\pi_1,\\pi_2)=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\">\u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u064a\u0646: <\/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-6d14719b0eefd313552d5257c249c66f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ \\begin{cases} x=3+4\\lambda-2 \\mu \\\\[1.7ex]y=-2+\\lambda+6 \\mu \\\\[1.7ex]z=5-\\lambda+3 \\mu \\end{cases}\\qquad \\qquad  \\pi_2 : \\ 3x+2y-2z-9=0\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"477\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0645\u0627\u0645\u064a \u0639\u0644\u0649 \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629\u060c \u0644\u0630\u0627 \u0644\u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0628\u0627\u0634\u0631\u0629 \u0644\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0646\u062d\u062a\u0627\u062c \u0623\u0648\u0644\u0627\u064b \u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644\u0647\u0627 \u0625\u0644\u0649 \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0629 \u0639\u0627\u0645\u0629 \u0648\u0647\u0630\u0627 \u064a\u0633\u062a\u063a\u0631\u0642 \u0627\u0644\u0643\u062b\u064a\u0631 \u0645\u0646 \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a \u0648\u0627\u0644\u0648\u0642\u062a. \u0648\u0645\u0646 \u062b\u0645\u060c \u0641\u0645\u0646 \u0627\u0644\u0623\u0633\u0631\u0639 \u0623\u0646 \u0646\u0623\u062e\u0630 \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \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 \u0627\u0644\u0622\u062e\u0631.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0646\u0642\u0637\u0629 \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u03c0 <sub>1<\/sub> \u062a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0644\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0629 \u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\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-d66243e674f3ead58ca1ff6b29a9a715_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(3,-2,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0646\u0637\u0628\u0642 \u0627\u0644\u0635\u064a\u063a\u0629 \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u0648\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0622\u062e\u0631: <\/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-8e667bbf8e826d021b1cb466a3b312ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\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=\"307\" 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-e4c4801629feef3733a4564df35d3c46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{\\lvert 3\\cdot 3+2\\cdot (-2)+(-2)\\cdot 5-9\\rvert}{\\sqrt{3^2+2^2+(-2)^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"317\" style=\"vertical-align: -20px;\"><\/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-617538033c94b7606ec4aff058302fd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{\\lvert 9-4-10-9\\rvert}{\\sqrt{9+4+4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"206\" 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-112e5dabc19834e9cd886f6c9296452a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{\\lvert -14\\rvert}{\\sqrt{17}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"128\" 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-18ff6ac34eed85be881c346ecb7e41dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{14}{\\sqrt{17}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"119\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0647\u064a: <\/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-ef887cbd7e8b9c8bbe88736ce26776d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{d(\\pi_1,\\pi_2)=d(P,\\pi_2) =} \\cfrac{\\bm{14}}{\\bm{\\sqrt{17}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"204\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u0648\u0641 \u062a\u062c\u062f \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646. \u0633\u062a\u0631\u0649 \u0639\u0644\u0649 \u0648\u062c\u0647 \u0627\u0644\u062e\u0635\u0648\u0635 \u0627\u0644\u0637\u0631\u064a\u0642\u062a\u064a\u0646 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u062a\u064a\u0646 \u0648\u0645\u062a\u0649 \u064a\u0643\u0648\u0646 \u0645\u0646 \u0627\u0644\u0623\u0641\u0636\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0625\u062d\u062f\u0627\u0647\u0645\u0627 \u0623\u0648 \u0627\u0644\u0623\u062e\u0631\u0649. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0644\u062f\u064a\u0643 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u0645\u062d\u0644\u0648\u0644\u0629 \u0644\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646 \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0641\u0647\u0645\u0647\u0627 \u062c\u064a\u062f\u064b\u0627. \u0643\u064a\u0641 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646\u061f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \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 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%85%d8%b3%d8%a7%d9%81%d8%a9-%d8%a8%d9%8a%d9%86-%d8%b7%d8%a7%d8%a6%d8%b1%d8%aa%d9%8a%d9%86\/\"> <span class=\"screen-reader-text\">\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0637\u0627\u0626\u0631\u062a\u064a\u0646 (\u0627\u0644\u0635\u064a\u063a\u0629)<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f 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