(a(i)(a))[1]
State, in the simplest form possible and using $\mathbf{p}$ and/or $\mathbf{q}$, $\overrightarrow{PS}$.
(a(i)(b))[2]
State, as simply as possible and in terms of $\mathbf{p}$ and/or $\mathbf{q}$, $\overrightarrow{SR}$.
(a(ii))[2]
Using vectors, state the name of the special quadrilateral $PQRS$ and justify your answer.
(a(iii))[2]
In its simplest form, find the ratio $|\overrightarrow{PQ}| : |\overrightarrow{SR}|$.
(b(i))[1]
With $\overrightarrow{AB} = \begin{pmatrix}3\\2\end{pmatrix}$, $\overrightarrow{BC} = \begin{pmatrix}6\\-2\end{pmatrix}$ and $\overrightarrow{CD} = \begin{pmatrix}-7\\-3\end{pmatrix}$, determine $\overrightarrow{AD}$.
(b(ii))[2]
Determine $|\overrightarrow{BC}|$.
(b(iii))[2]
Given that $E$ is the midpoint of $BC$, determine $\overrightarrow{AE}$.