Câu hỏi trắc nghiệm (10 câu):
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- A. \(\overrightarrow{A I}=\frac{3}{5} \vec{a}+\frac{2}{5} \vec{b}, \overrightarrow{A J}=\frac{5}{3} \vec{a}-\frac{2}{3} \vec{b}\)
- B. \(\overrightarrow{A I}=\frac{3}{5} \vec{a}-\frac{2}{5} \vec{b}, \overrightarrow{A J}=\frac{5}{3} a-\frac{2}{3} \vec{b}\)
- C. \(\overrightarrow{A I}=\frac{2}{5} \vec{a}+\frac{3}{5} \vec{b}, \overrightarrow{A J}=\frac{5}{3} \vec{a}-\frac{2}{3} \vec{b}\)
- D. \(\overrightarrow{A I}=\frac{3}{5} \vec{a}+\frac{2}{5} \vec{b}, \overrightarrow{A J}=\frac{5}{3} \vec{a}+\frac{2}{3} \vec{b}\)
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- A. \(\overrightarrow{A G}=\frac{1}{18} \vec{a}+\frac{5}{3} \vec{b}\)
- B. \(\overrightarrow{A G}=\frac{1}{18} \vec{a}+\frac{1}{5} \vec{b}\)
- C. \(\overrightarrow{A G}=\frac{5}{18} \vec{a}+\frac{1}{3} \vec{b}\)
- D. \(\overrightarrow{A G}=\frac{5}{18} \vec{a}-\frac{1}{3} \vec{b}\)
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- A. \(\overrightarrow{I J}=\frac{3}{4} \overrightarrow{A E}\)
- B. \(\overrightarrow{I J}=\frac{5}{4} \overrightarrow{A E}\)
- C. \(\overrightarrow{I J}=\frac{1}{4} \overrightarrow{A E}\)
- D. \(\overrightarrow{I J}=\frac{1}{3} \overrightarrow{A E}\)
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- A. \(\overrightarrow{M P}=-2 \overrightarrow{M N}\)
- B. \(\overrightarrow{M P}=3 \overrightarrow{M N}\)
- C. \(\overrightarrow{M P}=2\overrightarrow{M N}\)
- D. \(\overrightarrow{M P}=-3 \overrightarrow{M N}\)
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- A. \(p=\frac{5}{4} ; q=\frac{3}{4}\)
- B. \(p=-\frac{4}{3} ; q=\frac{2}{3}\)
- C. \(p=-\frac{4}{3} ; q=-\frac{2}{3}\)
- D. \(p=\frac{5}{4} ; q=-\frac{3}{4}\)
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- A. \(\overrightarrow{A B}=\frac{4}{3} \overrightarrow{B N}-\frac{2}{3} \overrightarrow{C P}\)
- B. \(\overrightarrow{A B}=-\frac{4}{3} \overrightarrow{B N}+\frac{2}{3} \overrightarrow{C P}\)
- C. \(\overrightarrow{A B}=-\frac{4}{3} \overrightarrow{B N}-\frac{2}{3} \overrightarrow{C P}\)
- D. \(\overrightarrow{A B}=-\frac{2}{3} \overrightarrow{B N}-\frac{4}{3} \overrightarrow{C P}\)
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- A. \(\begin{aligned} &\frac{3}{2}(\overrightarrow{G A}+\overrightarrow{G B}+\overrightarrow{C G}) \end{aligned}\)
- B. \(3(\overrightarrow{M G}+\overrightarrow{N G}+\overrightarrow{G P})\)
- C. \(\frac{1}{2}(\overrightarrow{A B}+\overrightarrow{B C}+\overrightarrow{A C})\)
- D. \(\vec 0\)
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- A. \(\overrightarrow{B M}=\frac{1}{2} \overrightarrow{B N}\)
- B. \(\overrightarrow{B N}=\frac{3}{2} \overrightarrow{B N}\)
- C. \(\overrightarrow{B M}=\frac{2}{3}\overrightarrow{B N}\)
- D. \(\overrightarrow{B M}=\frac{1}{2} \overrightarrow{B N}\)
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- A. \(a \sqrt{3}\)
- B. \(2 a \sqrt{5}\)
- C. \(a \sqrt{5}\)
- D. \(a \sqrt{2}\)
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- A. 4
- B. 8
- C. \(2\sqrt{13}\)
- D. \(\sqrt{13}\)
