本题目来源于试卷: VectorsVectors,类别为 IB数学
[问答题]
Let A and B be pointwpm9(fc*7xz ;gt ,pz vs such thw-9r w-+:b4cg mufknm at $\overrightarrow{\mathrm{OA}}=\left(\begin{array}{c}3 \\ 1 \\ -2\end{array}\right) $ and $ \overrightarrow{\mathrm{OB}}=\left(\begin{array}{c}1 \\ -2 \\ -1\end{array}\right) $.
1. Show that
Let C and D be points such that A B C D is a rectangle.
2. Given that $\overrightarrow{\mathrm{AD}}=\left(\begin{array}{c}q \\ -4 \\ -6\end{array}\right)$ , show that q=3 .
3. Find the coordinates of point C .
4. Find the area of the rectangle A B C D .
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