Mathematics 0580 · IGCSE · Vector geometry

Vector geometry — practice question

The figure depicts triangle $OAB$. $C$ is placed at the midpoint of $OA$. $OC = m$ and $CB = n$. $E$ is situated on $AB$ and $AE : EB = 4 : 5$. The figure is marked NOT TO SCALE.
(main)[4]

Find the position vector of $E$ in terms of $m$ and $n$. Give your answer in simplest form.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The simplified final answer is $\frac{14}{9}m+\frac{4}{9}n$.

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