9 The line \(l\) has equation \(\mathbf { r } = \left( \begin{array} { l } a
1
4 \end{array} \right) + \lambda \left( \begin{array} { r } 4
3
- 2 \end{array} \right)\), where \(a\) is a constant. The plane \(p\) has equation \(2 x - 2 y + z = 10\).
- Given that \(l\) does not lie in \(p\), show that \(l\) is parallel to \(p\).
- Find the value of \(a\) for which \(l\) lies in \(p\).
- It is now given that the distance between \(l\) and \(p\) is 6 . Find the possible values of \(a\).