(a)[2]
Work out $2 \begin{pmatrix}3\\-5\end{pmatrix} - \begin{pmatrix}2\\-7\end{pmatrix}$.
(b(i))[1]
Find the coordinates of $N$.
(b(ii))[2]
Find $|\overrightarrow{MN}|$.
(c(i))[1]
Write $\overrightarrow{AB}$ in terms of $a$ and $c$.
(c(i)(b))[1]
Write $\overrightarrow{CB}$ in terms of $a$ and $c$.
(c(i)(c))[2]
Write $\overrightarrow{OP}$ in terms of $a$ and $c$.
(c(i)(d))[2]
Write $\overrightarrow{QP}$ in terms of $a$ and $c$.
(c(ii))[2]
Use your answers to give two statements about how lines $QP$ and $CB$ are related.