7 The coordinates of the points \(A\) and \(B\) are ( \(3 , - 2,1\) ) and ( \(5,3,0\) ) respectively. The line \(l\) has equation \(\mathbf { r } = \left[ \begin{array} { l } 5
3
0 \end{array} \right] + \lambda \left[ \begin{array} { r } 1
0
- 3 \end{array} \right]\).

1. Find the distance between \(A\) and \(B\).
2. Find the acute angle between the lines \(A B\) and \(l\). Give your answer to the nearest degree.
3. The points \(B\) and \(C\) lie on \(l\) such that the distance \(A C\) is equal to the distance \(A B\). Find the coordinates of \(C\).