Mathematics 0580 · IGCSE · Vector geometry

Vector geometry — practice question

The diagram depicts parallelogram $ABCD$, where $\overrightarrow{AB}=q$ and $\overrightarrow{AD}=p$. $ABM$ is collinear, with $AB:BM = 1:1$. $ADN$ is collinear, with $AD:DN = 3:2$.
(a)[2]

Express $\overrightarrow{MN}$ in terms of $p$ and $q$, in simplest form.

(b)[2]

Determine the value of $k$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\frac{5}{3}p-2q$

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