Mathematics 0580 · IGCSE · Vector geometry

Vector geometry — practice question

$OAPB$ forms a parallelogram. $O$ serves as the origin. $\overrightarrow{OA} = \mathbf{a}$ and $\overrightarrow{OB} = \mathbf{b}$. $M$ is the midpoint of $BP$.
(a(i))[1]

Determine, in terms of $\mathbf{a}$ and $\mathbf{b}$ and in simplest form, $\overrightarrow{BA}$.

(a(ii))[1]

Determine the position vector of $M$.

(b)[2]

Show that $X$ is on $OM$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate vector $-\mathbf{b}+\mathbf{a}$

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