(a(i))[1]
Find the coordinates for point $G$.
(a(ii))[1]
Find the vector $5\overrightarrow{FG}$.
(a(iii))[2]
Find $|\overrightarrow{FG}|$.
(b(i)(a))[1]
Find $\overrightarrow{AQ}$, in terms of $a$ and/or $c$.
(b(i)(b))[1]
Find the vector $\overrightarrow{OQ}$.
(b(ii)(a))[2]
Show that $O$, $P$ and $Q$ are collinear.
(b(ii)(b))[1]
Write the ratio $OP:OQ$. Present your answer in the form $1:n$.