Find the point of intersection of the line \(\mathbf { r } = \left( \begin{array} { r } - 8 - 2 6 \end{array} \right) + \lambda \left( \begin{array} { r } - 3 0 1 \end{array} \right)\) and the plane \(2 x - 3 y + z = 11\).
Find the acute angle between the line and the normal to the plane.
Section B (36 marks)