(main)[2]
Determine the position vector of $T$. State your answer in terms of $\mathbf{p}$ and $\mathbf{q}$, in simplest form.
Mathematics 0580 · IGCSE · Vector geometry
Vector geometry — practice question
A triangle diagram, drawn not to scale, marks points $O$, $P$ and $Q$. $O$ is the origin. The vector $\vec{OP}$ is $\mathbf{p}$, while $\vec{OQ}$ is $\mathbf{q}$. Point $T$ is on $QP$ so that $QT:TP=2:1$.