本题目来源于试卷: VectorsVectors，类别为 IB数学
[问答题]
Let $\overrightarrow{\mathrm{AB}}=\left(\begin{array}{c}4 \\ 2 \\ -1\end{array}\right)$ and $\overrightarrow{\mathrm{AC}}=\left(\begin{array}{c}3 \\ -2 \\ 8\end{array}\right) $.
1. Find $\overrightarrow{\mathrm{BC}} $.
2. Find the unit vector in the direction of $\overrightarrow{\mathrm{AB}} $.
3. Show that $\overrightarrow{\mathrm{AB}}$ is perpendicular to $\overrightarrow{\mathrm{AC}}$ .
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