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Find $\vec{OS}$, in terms of $a$ and $b$, and give your answer in its simplest form.
Mathematics 0580 · IGCSE · Vector geometry
Vector geometry — practice question
The figure shows triangle $O$, $P$ and $Q$. Vector $\vec{OP}=a$ and vector $\vec{OQ}=b$. Point $S$ lies on $PQ$ so that $PS:SQ = 4:5$. The diagram is not drawn to scale.