本题目来源于试卷: VectorsVectors，类别为 IB数学
[问答题]
A line $L_{1}$ passes through the points $\mathrm{A}(2,1,-1)$ and $\mathrm{B}(5,-5,-4)$ .
1. 1. Show that $\overrightarrow{\mathrm{AB}}=\left(\begin{array}{c}3 \\ -6 \\ -3\end{array}\right)$ .
2. Write down the vector equation of $ L_{1}$ in the form $\mathbf{r}=\mathbf{p}+t \mathbf{d}$ .
A line $ L_{2}$ has equation $\mathbf{r}=\left(\begin{array}{l}5 \\ 5 \\ 1\end{array}\right)+s\left(\begin{array}{c}-3 \\ 4 \\ 2\end{array}\right), s \in \mathbb{R} $.
2. Find the acute angle between $L_{1}$ and $ L_{2}$ .
3. The lines $L_{1}$ and $ L_{2}$ intersect at point C . Find $\overrightarrow{\mathrm{OC}}$ .
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