{"common":{"save":0,"post_id":"7594","level":1,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5617","post_id":"7594","mon_id":"1159285","chapter_id":"1159392","question":"<p>Trong kh&ocirc;ng gian v\u1edbi h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 Oxyz, cho&nbsp;<span class=\"math-tex\">$\\overrightarrow{a}=-\\overrightarrow{i}+2\\overrightarrow{j}-3\\overrightarrow{k}$<\/span>. T\u1ecda \u0111\u1ed9 c\u1ee7a vect\u01a1 <span class=\"math-tex\">$\\overrightarrow{a}$<\/span>&nbsp;l&agrave;<\/p>","options":["<strong>A.<\/strong> (&ndash;1; 2; &ndash;3)","<strong>B.<\/strong> (2; &ndash;3; &ndash;1)","<strong>C.<\/strong> (2; &ndash;1; &ndash;3)","<strong>D.<\/strong> (&ndash;3; 2; &ndash;1)"],"correct":"1","level":"1","hint":"<p><span class=\"math-tex\">$\\overrightarrow{u}=a\\overrightarrow{i}+b\\overrightarrow{j}+c\\overrightarrow{k}$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$\\overrightarrow{u}=(a;b;c)$<\/span><\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;(&ndash;1; 2; &ndash;3)<\/span><\/p><p><span class=\"math-tex\">$\\overrightarrow{a}=-\\overrightarrow{i}+2\\overrightarrow{j}-3\\overrightarrow{k}$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$\\overrightarrow{a}=(-1;2;-3)$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-02 00:38:40","option_type":"txt","len":2},{"id":"5618","post_id":"7594","mon_id":"1159285","chapter_id":"1159392","question":"<p>Trong kh&ocirc;ng gian Oxyz, cho \u0111i\u1ec3m A(&ndash;2; 3; 5). T\u1ecda \u0111\u1ed9 c\u1ee7a v&eacute;ct\u01a1&nbsp;<span class=\"math-tex\">$\\overrightarrow{OA}$<\/span> l&agrave;:<\/p>","options":["<strong>A.<\/strong> (2; &ndash;3; 5)","<strong>B.<\/strong> (&ndash;2; 3; &ndash;5)","<strong>C.<\/strong> (&ndash;2; &ndash;3; 5)","<strong>D.<\/strong> (&ndash;2; 3; 5)"],"correct":"4","level":"1","hint":"<p>M(x; y; z)&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$\\overrightarrow{OM}=(x;y;z)$<\/span><\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>D.<\/strong>&nbsp;(&ndash;2; 3; 5)<\/span><\/p><p>A(&ndash;2; 3; 5)&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$\\overrightarrow{OA}=(-2;3;5)$<\/span><\/p>","type":"choose","extra_type":"shape1","user_id":"131","test":"0","date":"2024-09-02 00:42:08","option_type":"txt","len":0},{"id":"5619","post_id":"7594","mon_id":"1159285","chapter_id":"1159392","question":"<p>Trong kh&ocirc;ng gian Oxyz, cho hai vect\u01a1 <span class=\"math-tex\">$\\overrightarrow{u}=(1;-4;0)$<\/span>&nbsp;v&agrave; <span class=\"math-tex\">$\\overrightarrow{v}=(-1;-2;1)$<\/span>. Vect\u01a1&nbsp;<span class=\"math-tex\">$\\overrightarrow{u}+3\\overrightarrow{v}$<\/span>&nbsp;c&oacute; t\u1ecda \u0111\u1ed9 l&agrave;<\/p>","options":["<strong>A.<\/strong> (&ndash;2; &ndash;6; 3)","<strong>B.<\/strong> (&ndash;2; &ndash;10; 3)","<strong>C.<\/strong> (&ndash;4; &ndash;8; 4)","<strong>D.<\/strong> (&ndash;2; &ndash;10; &ndash;3)"],"correct":"2","level":"1","hint":"<p><span class=\"math-tex\">$k\\overrightarrow{a}=(ka_1;ka_2;ka_3)$<\/span><\/p><p><span class=\"math-tex\">$\\overrightarrow{a}+\\overrightarrow{b}=(a_1+b_1;a_2+b_2;a_3+b_3)$<\/span><\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;(&ndash;2;&nbsp;&ndash;10;&nbsp;3)<\/span><\/p><p>Ta c&oacute;:&nbsp;<span class=\"math-tex\">$\\overrightarrow{u}=(1;-4;0)$<\/span><\/p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<span class=\"math-tex\">$3\\overrightarrow{v}=(-3;-6;3)$<\/span><\/p><p>Do \u0111&oacute;&nbsp;<span class=\"math-tex\">$\\overrightarrow{u}+3\\overrightarrow{v}=(-2;-10;3)$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-02 00:48:05","option_type":"txt","len":2}]}