本题目来源于试卷: VectorsVectors，类别为 IB数学
[问答题]
The line $ L_{1} $ passes through the points $\mathrm{A}(4,7,-4) $ and $\mathrm{B}(4,6,-3)$ .
1. 1. Show that $\overrightarrow{\mathrm{AB}}=\left(\begin{array}{c}0 \\ -1 \\ 1\end{array}\right)$ .
2. Write down the vector equation of $ L_{1} $ in the form $\mathbf{r}=\mathbf{p}+t \mathbf{d} $.
Another line $L_{2}$ has equation $\mathbf{r}=\left(\begin{array}{l}2 \\ 1 \\ 4\end{array}\right)+s\left(\begin{array}{c}-1 \\ 0 \\ 1\end{array}\right)$, s $\in \mathbb{R}$ . The lines $L_{1}$ and $L_{2}$ intersect at point C .
2. Find $ \overrightarrow{\mathrm{OC}}$ .
3. Find the acute angle between $ \overrightarrow{\mathrm{OC}} $ and $L_{1} $.
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