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Work out the position vector of $Z$, in terms of $\vec{p}$ and $\vec{q}$. State your answer in its simplest form.
Mathematics 0580 · IGCSE · Vector geometry
Vector geometry — practice question
The diagram depicts triangle $OPQ$. $O$ is the origin, $\vec{OP}=\vec{p}$ and $\vec{OQ}=\vec{q}$. $Z$ lies on $PQ$ so that $PZ:ZQ = 5:2$. The diagram is not drawn to scale.