(a(i))[2]
Here, $H$ is $(-7,4)$ and $\vec{HJ} = \begin{pmatrix}10 \\ -6\end{pmatrix}$. Calculate the magnitude of $\vec{HJ}$.
(a(ii))[2]
Since $\vec{HK} = 3\vec{HJ}$, determine the coordinates of point $K$.
(b(i))[1]
The figure shows a parallelogram $OBCE$ with $\vec{OA} = \vec{p}$ and $\vec{OE} = \vec{q}$. Express $\vec{OC}$ in terms of $\vec{p}$ and/or $\vec{q}$.
(b(ii))[2]
Express $\vec{AX}$ using $\vec{p}$ and/or $\vec{q}$.
(b(iii))[2]
Express $\vec{EX}$ using $\vec{p}$ and/or $\vec{q}$.