(a)[1]
In terms of $\mathbf{c}$, find $\overrightarrow{OR}$.
(b)[2]
Find $\overrightarrow{CQ}$ in terms of $\mathbf{a}$ and $\mathbf{c}$, as simply as possible.
(c)[1]
Find the ratio of area $OABC$ to area $OPQR$.
Mathematics 4024 · O Level · Vector geometry
Vector geometry — practice question
$OABC$ and $OPQR$ are parallelograms. $A$ lies on $OP$ and $C$ lies on $OR$. Also, $\overrightarrow{OA}=\mathbf{a}$ and $\overrightarrow{OC}=\mathbf{c}$. The ratio $OA:OP=1:4$ and $OC:CR=2:3$.