(a(i))[1]
Express $\vec{PQ}$ using $\mathbf{p}$ and/or $\mathbf{q}$.
(a(ii))[1]
Express $\vec{QS}$ as simply as you can in terms of $\mathbf{p}$ and/or $\mathbf{q}$.
(b(i))[2]
Point $T$ is on the extension of $QS$ such that $\vec{QT} = \frac{4}{3} \vec{QS}$. Express $\vec{PT}$ as simply as possible in terms of $\mathbf{p}$ and/or $\mathbf{q}$.
(b(ii))[1]
What can you conclude regarding the points $O$, $P$ and $T$?