{"common":{"save":0,"post_id":"7591","level":1,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5633","post_id":"7591","mon_id":"1159285","chapter_id":"1159392","question":"<p>Trong không gian Oxyz cho <span class=\"math-tex\">$\\overrightarrow{a}=(2;3;2)$<\/span> và <span class=\"math-tex\">$\\overrightarrow{b}=(1;1;-1)$<\/span>. Vect\u01a1 <span class=\"math-tex\">$\\overrightarrow{a}-\\overrightarrow{b}$<\/span> có t\u1ecda \u0111\u1ed9 là<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$(3;4;1)$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$(-1;-2;3)$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$(3;5;1)$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$(1;2;3)$<\/span>"],"correct":"4","level":"1","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>D.<\/strong> <span class=\"math-tex\">$(1;2;3)$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\overrightarrow{a}-\\overrightarrow{b}=(2-1;3-1;2-(-1))=(1;2;3)$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-02 02:42:13","option_type":"math","len":0},{"id":"5634","post_id":"7591","mon_id":"1159285","chapter_id":"1159392","question":"<p>Trong không gian ,Oxyz cho hai vect\u01a1 <span class=\"math-tex\">$\\overrightarrow{u}=(1;-2;3),\\overrightarrow{v}=(-1;2;0)$<\/span>. T\u1ecda \u0111\u1ed9 c\u1ee7a vect\u01a1 <span class=\"math-tex\">$\\overrightarrow{u}+\\overrightarrow{v}$<\/span> là<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$(0;0;-3)$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$(0;0;3)$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$(-2;4;-3)$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$(2;-4;3)$<\/span>"],"correct":"2","level":"1","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B.<\/strong> <span class=\"math-tex\">$(0;0;3)$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\overrightarrow{u}+\\overrightarrow{v}=(1-1;-2+2;3+0)=(0;0;3)$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-02 02:45:19","option_type":"math","len":0},{"id":"5635","post_id":"7591","mon_id":"1159285","chapter_id":"1159392","question":"<p>Trong không gian v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9 Oxyz, cho hai \u0111i\u1ec3m A (3;–2;3) và B (–1;2;5). Tìm t\u1ecda \u0111\u1ed9 trung \u0111i\u1ec3m I c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$I(1;0;4)$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$I(2,0,8)$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$I(2;-2;-1)$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$I(-2;2;1)$<\/span>"],"correct":"1","level":"1","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A.<\/strong> <span class=\"math-tex\">$I(1;0;4)$<\/span>.<\/span><\/p><p>T\u1ecda \u0111\u1ed9 trung \u0111i\u1ec3m I c\u1ee7a \u0111o\u1ea1n AB v\u1edbi A (3;–2;3) và B (–1;2;5) \u0111\u01b0\u1ee3c tính b\u1edfi<\/p><p><span class=\"math-tex\">$I\\bigg(\\dfrac{x_A+x_B}{2};\\dfrac{y_A+y_B}{2};\\dfrac{z_A+z_B}{2}\\bigg)$<\/span> ⇒ <span class=\"math-tex\">$I(1;0;4)$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-02 02:50:36","option_type":"math","len":0}]}