2 The points \(A\) and \(B\) have position vectors \(\left( \begin{array} { c } 1
- 2
5 \end{array} \right)\) and \(\left( \begin{array} { c } - 3
- 1
2 \end{array} \right)\) respectively.
- Find the exact length of \(A B\).
- Find the position vector of the midpoint of \(A B\).
The points \(P\) and \(Q\) have position vectors \(\left( \begin{array} { l } 1
2
0 \end{array} \right)\) and \(\left( \begin{array} { l } 5
1
3 \end{array} \right)\) respectively. - Show that \(A B P Q\) is a parallelogram.