VectorsVectors (id: b1cba4507)

本题目来源于试卷: VectorsVectors，类别为 IB数学

[问答题]
Let A and B be points suu-wj5v-ayd x( j 09wax1gw( y*.d2 2fhflz(g pxl,hkcch 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 .

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