本题目来源于试卷: VectorsVectors，类别为 IB数学
[问答题]
Let A and B be pointi l fssk4 -nf.xyx*p2 t96(zgis sucvdc+9bgd;fab a36 t hgdvor 0iy1,v -8h that $\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 .
参考答案: 
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