5. The points \(A , B\) and \(C\) have position vectors \(\left( \begin{array} { l } 1
3
2 \end{array} \right) , \left( \begin{array} { r } - 1
0
1 \end{array} \right)\) and \(\left( \begin{array} { l } 2
1
0 \end{array} \right)\) respectively.
- Find a vector equation of the straight line \(A B\).
- Find a cartesian form of the equation of the straight line \(A B\).
The plane \(\Pi\) contains the points \(A , B\) and \(C\).
- Find a vector equation of \(\Pi\) in the form r.n \(= p\).
- Find the perpendicular distance from the origin to \(\Pi\).