1 The lines \(l _ { 1 }\) and \(l _ { 2 }\) have the following equations.
$$\begin{aligned}
& l _ { 1 } : \mathbf { r } = \left( \begin{array} { r }
8
- 11
- 2
\end{array} \right) + \lambda \left( \begin{array} { r }
- 2
5
3
\end{array} \right)
& l _ { 2 } : \mathbf { r } = \left( \begin{array} { r }
- 6
11
8
\end{array} \right) + \mu \left( \begin{array} { r }
- 3
1
- 1
\end{array} \right)
\end{aligned}$$
- Show that \(l _ { 1 }\) and \(l _ { 2 }\) intersect.
- Write down the point of intersection of \(l _ { 1 }\) and \(l _ { 2 }\).