(a)[1]
Show that the gradient of $OB$ equals $\frac{1}{2}$.
(b(i))[1]
As $AP$ is parallel to $OB$ and $\vec{AP} = \begin{pmatrix}p\\2\end{pmatrix}$, find the value of $p$.
(b(ii))[1]
Write down the ratio $\dfrac{AP}{OB}$.
(c(i))[1]
$AQ$ is perpendicular to $OB$. Write down the gradient of $AQ$.
(c(ii))[1]
With $\vec{AQ} = \begin{pmatrix}3\\q\end{pmatrix}$, find the value of $q$.