\u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621\u060c \u0645\u0648\u0636\u0639<\/strong> \u0627\u0644\u062c\u0633\u0645 \u0623\u0648 \u0627\u0644\u062c\u0633\u064a\u0645 \u0647\u0648 \u0645\u0643\u0627\u0646 \u062a\u0648\u0627\u062c\u062f\u0647 \u0641\u064a \u0648\u0642\u062a \u0645\u0639\u064a\u0646. \u0623\u064a \u0623\u0646\u0647 \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0648\u0636\u0639 \u0627\u0644\u062c\u0633\u0645 \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0648\u0642\u0639 \u0627\u0644\u062c\u0633\u0645 \u0641\u064a \u0646\u0638\u0627\u0645 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a.<\/p>\n \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0648\u0636\u0639 \u0644\u0648\u0635\u0641 \u062d\u0631\u0643\u0629 \u0627\u0644\u062c\u0633\u0645. \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0645\u062b\u064a\u0644 \u0645\u0648\u0636\u0639 \u0627\u0644\u062c\u0633\u0645 \u0628\u0646\u0638\u0627\u0645 \u0625\u062d\u062f\u0627\u062b\u064a\u060c \u064a\u062a\u0645 \u062a\u062d\u062f\u064a\u062f \u0645\u0648\u0636\u0639\u0647 \u0628\u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0645\u0643\u0646 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u062a\u063a\u064a\u0631 \u0641\u064a \u0645\u0648\u0636\u0639 \u0627\u0644\u062c\u0633\u0645.<\/p>\n \u0644\u0630\u0644\u0643\u060c \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621\u060c \u064a\u062a\u0645 \u062a\u0645\u062b\u064a\u0644 \u0645\u0648\u0636\u0639 \u0627\u0644\u062c\u0633\u0645 \u0628\u0648\u0627\u0633\u0637\u0629 \u0645\u062a\u062c\u0647 \u064a\u0633\u0645\u0649 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639. \u0641\u064a \u0627\u0644\u0642\u0633\u0645 \u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0633\u0646\u0631\u0649 \u0645\u0645\u0627 \u064a\u062a\u0643\u0648\u0646 \u0646\u0627\u0642\u0644 \u0627\u0644\u0645\u0648\u0636\u0639.<\/p>\n \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639<\/strong> \u060c \u0623\u0648 \u0628\u0628\u0633\u0627\u0637\u0629 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639<\/strong> \u060c \u0647\u0648 \u0645\u062a\u062c\u0647 \u064a\u0635\u0641 \u0645\u0648\u0636\u0639 \u0646\u0642\u0637\u0629 \u0641\u064a \u0646\u0638\u0627\u0645 \u0645\u0631\u062c\u0639\u064a\u060c \u0623\u064a \u0623\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u064a\u064f\u0633\u062a\u062e\u062f\u0645 \u0644\u0644\u0625\u0634\u0627\u0631\u0629 \u0625\u0644\u0649 \u0645\u0648\u0636\u0639 \u0646\u0642\u0637\u0629 \u0641\u064a \u0646\u0638\u0627\u0645 \u0625\u062d\u062f\u0627\u062b\u064a.<\/p>\n \u0631\u064a\u0627\u0636\u064a\u0627\u060c \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u0644\u0646\u0642\u0637\u0629 \u0645\u0627 \u0639\u0644\u0649 \u0623\u0646\u0647 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0630\u064a \u064a\u0646\u062a\u0642\u0644 \u0645\u0646 \u0623\u0635\u0644 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0625\u0644\u0649 \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629. \u0644\u0630\u0644\u0643\u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u0644\u0646\u0642\u0637\u0629 \u0645\u0627 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0637\u0631\u062d \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u062a\u0644\u0643 \u0627\u0644\u0646\u0642\u0637\u0629 \u0645\u0637\u0631\u0648\u062d\u064b\u0627 \u0645\u0646\u0647\u0627 \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u0623\u0635\u0644. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0635\u064a\u063a\u0629 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n \n \u0630\u0647\u0628<\/p>\n \u0647\u064a \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u064a \u064a\u062a\u0645 \u0639\u0646\u062f\u0647\u0627 \u062d\u0633\u0627\u0628 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u0648<\/p>\n \u0647\u0648 \u0623\u0635\u0644 \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0631\u062c\u0639\u064a.<\/p>\n \u064a\u062a\u0645 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u0644\u0646\u0642\u0637\u0629 \u0645\u0627 \u0628\u0648\u0627\u0633\u0637\u0629 \u0646\u0627\u0642\u0644\u0627\u062a \u0627\u0644\u0648\u062d\u062f\u0629<\/p>\n ,<\/p>\n \u0648<\/p>\n \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a\u0629 \u0644\u0646\u0642\u0637\u0629 \u0645\u0627 \u0647\u064a (3\u060c4\u060c5)\u060c \u0641\u0625\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u0644\u0647\u0630\u0647 \u0627\u0644\u0646\u0642\u0637\u0629 \u0647\u0648 r=3i+4j+5k. <\/p>\n \u0643\u0645\u0627 \u062a\u0631\u0648\u0646 \u0641\u064a \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u0633\u0627\u0628\u0642\u060c \u0641\u0625\u0646 \u0627\u062a\u062c\u0627\u0647 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u0647\u0648 \u0627\u0644\u062e\u0637 \u0627\u0644\u0630\u064a \u064a\u0635\u0644 \u0623\u0635\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0631\u062c\u0639\u064a \u0628\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0645\u0639\u0646\u064a\u0629\u060c \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 \u0627\u062a\u062c\u0627\u0647 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u064a\u0646\u062a\u0642\u0644 \u0645\u0646 \u0646\u0642\u0637\u0629 \u0627\u0644\u0623\u0635\u0644 \u0625\u0644\u0649 \u0627\u0644\u0646\u0642\u0637\u0629 \u0641\u064a \u0627\u0644\u0633\u0624\u0627\u0644. \u0646\u0642\u0637\u0629 \u0627\u0644\u062f\u0631\u0627\u0633\u0629.<\/p>\n \u062d\u062c\u0645 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u0644\u0646\u0642\u0637\u0629 \u0645\u0627 \u0647\u0648 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 \u0648\u0623\u0635\u0644 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0642\u0627\u0639\u062f\u0629 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0644\u0645\u062c\u0645\u0648\u0639 \u0645\u0631\u0628\u0639\u0627\u062a \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a\u0647.<\/p>\n \n \u0644\u0627\u062d\u0638 \u0623\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u0633\u064a\u0643\u0648\u0646 \u0644\u0647 \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u0646 \u0641\u0642\u0637 (x,y) \u0625\u0630\u0627 \u0643\u0646\u0627 \u0646\u0639\u0645\u0644 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0625\u0630\u0627 \u0643\u0646\u0627 \u0646\u0639\u0645\u0644 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621\u060c \u0641\u0633\u064a\u0643\u0648\u0646 \u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u062b\u0644\u0627\u062b\u0629 \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a (x\u060cy\u060cz). <\/p>\n \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0642\u0633\u0645 \u0633\u0648\u0641 \u0646\u0631\u0649 \u0645\u0627 \u0647\u064a \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0648\u0643\u064a\u0641 \u062a\u0631\u062a\u0628\u0637 \u0628\u0645\u0648\u0636\u0639 \u0627\u0644\u062c\u0633\u0645.<\/p>\n \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621\u060c \u062a\u0634\u064a\u0631 \u0627\u0644\u0625\u0632\u0627\u062d\u0629<\/strong> \u0625\u0644\u0649 \u0627\u0644\u062a\u063a\u064a\u0631 \u0641\u064a \u0645\u0648\u0636\u0639 \u0627\u0644\u062c\u0633\u0645 \u0623\u0648 \u0627\u0644\u062c\u0633\u0645. \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u064a\u062a\u0645 \u062d\u0633\u0627\u0628 \u0625\u0632\u0627\u062d\u0629 \u0627\u0644\u062c\u0633\u0645 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0637\u0631\u062d \u0645\u0648\u0636\u0639\u0647 \u0627\u0644\u0646\u0647\u0627\u0626\u064a \u0645\u0646 \u0645\u0648\u0636\u0639\u0647 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0635\u064a\u063a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n \n \u0630\u0647\u0628: <\/p>\n \u0647\u0648 \u0625\u0632\u0627\u062d\u0629 \u0646\u0627\u0642\u0644\u0627\u062a \u0627\u0644\u0645\u0648\u0642\u0641. <\/span><\/li>\n \u0647\u0648 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u0644\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0647\u0627\u0626\u064a. <\/span><\/li>\n \u0647\u0648 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u0644\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0623\u0648\u0644\u064a. <\/span><\/li>\n<\/ul>\n \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621\u060c \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646<\/strong> \u0647\u064a \u0645\u0639\u064a\u0627\u0631 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0630\u064a \u064a\u0631\u0628\u0637 \u0627\u0644\u0646\u0642\u0627\u0637. \u0648\u0644\u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0633\u0627\u0628 \u0645\u0642\u062f\u0627\u0631 \u0645\u062a\u062c\u0647 \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646\u060c \u0644\u0623\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u0647\u0648 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0630\u064a \u064a\u0635\u0644 \u0628\u064a\u0646 \u0645\u0648\u0636\u0639\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u064a\u0646.<\/p>\n \n \u0647\u064a \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 A \u0648\u0627\u0644\u0646\u0642\u0637\u0629 B. <\/p>\n \u0647\u0648 \u0645\u062a\u062c\u0647 \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u0628\u064a\u0646 \u0627\u0644\u0646\u0642\u0637\u0629 A \u0648\u0627\u0644\u0646\u0642\u0637\u0629 B. <\/span><\/li>\n \u0647\u064a \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a X \u0648Y \u0648Z \u0644\u0644\u0646\u0642\u0637\u0629 A. <\/span><\/li>\n \u0647\u064a \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a X \u0648Y \u0648Z \u0644\u0644\u0646\u0642\u0637\u0629 B.<\/span><\/li>\n \u0648\u0644\u0643\u0646 \u064a\u062c\u0628 \u0627\u0644\u062a\u0641\u0631\u064a\u0642 \u0628\u064a\u0646 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646 \u0648\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0645\u0642\u0637\u0648\u0639\u0629\u060c \u0644\u0623\u0646\u0647\u0645\u0627 \u0645\u0633\u0627\u0641\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629.<\/p>\n \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0645\u0642\u0637\u0648\u0639\u0629<\/strong> \u062a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0627\u0644\u0637\u0648\u0644 \u0627\u0644\u0630\u064a \u064a\u0642\u0637\u0639\u0647 \u0627\u0644\u062c\u0633\u0645 \u0644\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0645\u0646 \u0646\u0642\u0637\u0629 \u0625\u0644\u0649 \u0623\u062e\u0631\u0649\u060c \u0623\u064a \u0623\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0645\u0642\u0637\u0648\u0639\u0629 \u0647\u064a \u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0633\u0627\u0631 \u0627\u0644\u0630\u064a \u0642\u0637\u0639\u0647 \u0627\u0644\u062c\u0633\u0645. <\/p>\n \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0645\u0642\u0637\u0648\u0639\u0629 \u0648\u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646<\/strong> \u0647\u0648 \u0623\u0646 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0627\u0644\u0645\u0642\u0637\u0648\u0639\u0629 \u0647\u064a \u0637\u0648\u0644 \u0627\u0644\u0645\u0633\u0627\u0631 \u0627\u0644\u0645\u0642\u0637\u0648\u0639 \u0628\u0627\u0644\u0643\u0627\u0645\u0644\u060c \u0628\u064a\u0646\u0645\u0627 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646 \u0647\u064a \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0647\u0627\u0626\u064a \u0648\u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u060c \u0648\u0647\u0648 \u0645\u0627 \u064a\u0639\u0627\u062f\u0644 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0625\u0632\u0627\u062d\u0629. <\/p>\n \u0648\u0623\u062e\u064a\u0631\u064b\u0627 \u0633\u0646\u0631\u0649 \u0645\u0627 \u0647\u064a \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0645\u0648\u0636\u0639 \u0627\u0644\u062c\u0633\u0645 \u0648\u0633\u0631\u0639\u062a\u0647\u060c \u0625\u0630 \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 \u0633\u0631\u0639\u0629 \u0627\u0644\u062c\u0633\u0645 \u0645\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u0648\u0636\u0639\u0647.<\/p>\n \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0623\u0639\u0644\u0627\u0647\u060c \u0641\u0625\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0648\u0636\u0639 \u0647\u0648 \u0645\u062a\u062c\u0647 \u064a\u062e\u0628\u0631\u0646\u0627 \u0628\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u062c\u0633\u0645 \u0641\u064a \u0648\u0642\u062a \u0645\u062d\u062f\u062f.<\/p>\n \n \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0644\u062d\u0638\u064a \u0644\u062c\u0633\u0645 \u0645\u0627 \u0643\u062f\u0627\u0644\u0629 \u0644\u0644\u0632\u0645\u0646 \u0647\u064a \u0635\u064a\u063a\u0629 \u062a\u0633\u0645\u062d \u0644\u0646\u0627 \u0628\u062a\u062d\u062f\u064a\u062f \u0645\u0648\u0636\u0639 \u0627\u0644\u062c\u0633\u0645 \u0641\u064a \u0623\u064a \u0644\u062d\u0638\u0629:<\/p>\n \n \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0644\u062d\u0638\u064a\u0629 \u0644\u0644\u062c\u0633\u0645 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0632\u0645\u0646\u064a\u0629 \u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0644\u062d\u0638\u064a:<\/p>\n \u0644\u0630\u0644\u0643\u060c \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0644\u062d\u0638\u064a\u0629 \u0644\u062c\u0633\u0645 \u0641\u064a \u0648\u0642\u062a \u0645\u062d\u062f\u062f\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0623\u0648\u0644\u064b\u0627 \u0627\u0634\u062a\u0642\u0627\u0642 \u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u0648\u0636\u0639\u0647 \u062b\u0645 \u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u0628\u0642\u064a\u0645\u0629 \u0627\u0644\u0644\u062d\u0638\u0629 \u0627\u0644\u0632\u0645\u0646\u064a\u0629 \u0641\u064a \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u0646\u0627\u062a\u062c. <\/p>\n<\/span> \u0646\u0627\u0642\u0644 \u0627\u0644\u0645\u0648\u0642\u0641<\/span><\/h2>\n
![\"\\vv{r}=PO\"](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-227dd77db327b76f3f47e99a5d56c3e5_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"P\"](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fda1e51b12ba3624074fcbebad72b1fc_l3.png\" "\\"Rendered")
<\/p>\n![\"O\"](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5fd89de58d79b25e5ca6ae69a6ff464b_l3.png\" "\\"Rendered")
<\/p>\n![\"\\vv{i}\"](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0b35266aff72392f18054a3ee0726b72_l3.png\" "\\"Rendered")
<\/p>\n![\"\\vv{j}\"](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e64160920c9450edf06e8f621fe04ba2_l3.png\" "\\"Rendered")
<\/p>\n![\"\\vv{k}[](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c04df108648dbd0ef793690ce20b8b96_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\u0645\u062b\u0627\u0644](\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vecteur-de-position.png\")
<\/figure>\n![\"|\\vv{r}|=\\sqrt{x^2+y^2+z^2}\"](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4e00e2651473f9b281caa2edb84af61b_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n<\/span> \u0627\u0644\u0645\u0648\u0642\u0641 \u0648\u0627\u0644\u0625\u0632\u0627\u062d\u0629<\/span><\/h2>\n
![\"\\Delta](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5d3939f1528e9a354c39bc01ca2925a4_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n\n
![\"\\Delta](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bd163374155626fffded43e0d746c686_l3.png\" "\\"Rendered")
<\/p>\n![\"\\vv{r_f}\"](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e1b02810b572e656acf95dc5bb7f0c9d_l3.png\" "\\"Rendered")
<\/p>\n![\"\\vv{r_i}\"](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7eae0c03c02ab63fa29f02150a8bedf4_l3.png\" "\\"Rendered")
<\/p>\n<\/span> \u0627\u0644\u0645\u0648\u0642\u0639 \u0648\u0627\u0644\u0645\u0633\u0627\u0641\u0629<\/span><\/h2>\n
![\"d_{AB}=|\\Delta](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-75dc5dcfde010c68a3d5e0d59fc3f5b9_l3.png\")
\n![\"\\Delta](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7d2e05edcc86b6c52046c42e1ef45b04_l3.png\" "\\"Rendered")
<\/p>\n![\"x_A,](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c6ccb392fef5508c79e5ce51ef6c7baf_l3.png\" "\\"Rendered")
<\/p>\n![\"x_B,](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b425d4bb21c7a8701dd00fec1c581455_l3.png\" "\\"Rendered")
<\/p>\n![\"\u0627\u0644\u0645\u0633\u0627\u0641\u0629](\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/deplacement-et-distance.png\")
<\/figure>\n<\/span> \u0627\u0644\u0645\u0648\u0642\u0641 \u0648\u0627\u0644\u0633\u0631\u0639\u0629<\/span><\/h2>\n
![\"\\vv{r}=x\\vv{i}+y\\vv{j}+z\\vv{k}\"](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-f75044a0a175ed54f5513df2e91b2573_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n![\"\\vv{r}(t)=x(t)\\vv{i}+y(t)\\vv{j}+z(t)\\vv{k}\"](\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7963fb834241aded239d9fa4e4fff290_l3.png\" "\\"Rendered")
<\/p>\n<\/p>\n *** QuickLaTeX cannot compile formula:\n\\begin{aligned}\\vv{v}(t)&=\\cfrac{d\\vv{r}(t)}{dt}\\\\[2ex]\\vv{v}(t)&=\\ cfrac{dx (t)}{dt}\\vv{i}+\\cfrac{dy(t)}{dt}\\vv{j}+\\cfrac{dz(t)}{dt}\\vv{k}\\ end{aligned }\n\n*** Error message:\nPackage amsmath Error: \\begin{aligned} allowed only in math mode.\nleading text: \\begin{aligned}\\vv\nMissing $ inserted.\nleading text: \\begin{aligned}\\vv\nUndefined control sequence \\vv.\nleading text: \\begin{aligned}\\vv\nPlease use \\mathaccent for accents in math mode.\nleading text: ...\\vv{j}+\\cfrac{dz(t)}{dt}\\vv{k}\\ end{aligned\nMissing $ inserted.\nleading text: \\end{document}\nMissing } inserted.\nleading text: \\end{document}\nMissing } inserted.\nleading text: \\end{document}\nMissing \\cr inserted.\nleading text: \\end{document}\nMissing { inserted.\nleading text: \\end{document}\nMissing $ inserted.\nleading text: \\end{document}\n\\begin{aligned} on input line 8 ended by \\end{document}.\nleading text: \\end{document}\nYou can't use `\\end' in internal vertical mode.\n\n<\/pre>\n