5 The vector equations of two lines are as follows. $$L : \mathbf { r } = \left( \begin{array} { l } 1
4
5 \end{array} \right) + s \left( \begin{array} { c } 2
- 1
3 \end{array} \right) \quad M : \mathbf { r } = \left( \begin{array} { c } 3
2
- 5 \end{array} \right) + t \left( \begin{array} { c } 5
- 3
1 \end{array} \right)$$

1. Show that the lines \(L\) and \(M\) meet, and find the coordinates of the point of intersection.
2. Show that the line \(L\) can also be represented by the equation \(\mathbf { r } = \left( \begin{array} { c } 7
   1
   14 \end{array} \right) + u \left( \begin{array} { c } - 4
   2
   - 6 \end{array} \right)\).