本题目来源于试卷: VectorsVectors，类别为 IB数学
[问答题]
A line L passes through th+o;r6 w ) w+uvsuup(qwe l prj:y8 cum)3*h8pfkpoints$\mathrm{A}(6,5,0)$ and $ \mathrm{B}(8,6,1)$ .
1. 1. Show that $\overrightarrow{\mathrm{AB}}=\left(\begin{array}{l}2 \\ 1 \\ 1\end{array}\right)$ .
2. Write down a vector equation of L in the form $\mathbf{r}=\mathbf{p}+t \mathbf{d}$ .
The line L also passes through the point $\mathrm{C}(2, b,-2)$ .
2. Find the value of b .
The point D has coordinates $\left(p^{2}, 2,5 p\right)$ .
3. Given that $ \overrightarrow{\mathrm{CD}}$ is perpendicular to L , find the possible values of p .
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