(a)[2]
In terms of $\mathbf{p}$ and $\mathbf{q}$, and in simplest form, determine $\overrightarrow{BA}$.
(b)[2]
Determine the position vector of $M$.
Mathematics 0580 · IGCSE · Vector geometry
Vector geometry — practice question
A triangle is drawn and it is NOT TO SCALE. $O$ denotes the origin, $\overrightarrow{OP} = 2\overrightarrow{OA}$, $\overrightarrow{OQ} = 3\overrightarrow{OB}$ and $\overrightarrow{PM} = \overrightarrow{MQ}$. $\overrightarrow{OP} = \mathbf{p}$ and $\overrightarrow{OQ} = \mathbf{q}$.