(a)[3]
For $\left|\left(\begin{array}{c}9m \\ 40m\end{array}\right)\right| = \frac{205}{2}$, determine the two possible values of $m$.
(b(i)(a))[1]
Find $\overrightarrow{AC}$, expressed in terms of $\mathbf{a}$ and/or $\mathbf{c}$.
(b(i)(b))[1]
Find $\overrightarrow{CP}$, in terms of $\mathbf{a}$ and/or $\mathbf{c}$.
(b(i)(c))[1]
Find $\overrightarrow{OP}$, in terms of $\mathbf{a}$ and/or $\mathbf{c}$.
(b(ii))[2]
Determine the position vector of $Q$.