3
3
- 5
\end{array} \right) + \lambda \left( \begin{array} { c }
1
3
- 2
\end{array} \right)
& l _ { 2 } : \mathbf { r } = \left( \begin{array} { l }
1
a
1
\end{array} \right) + \mu \left( \begin{array} { c }
2
2
- 3
\end{array} \right)
\end{aligned}$$
- Find the position vector of the point of intersection of \(l _ { 1 }\) and \(l _ { 2 }\).
- Determine the value of \(a\).