Mathematics 0580 · IGCSE · Vector geometry

Vector geometry — practice question

The figure contains triangle $OAB$ together with the straight line $OAC$. The ratio $OA : OC = 2 : 5$, and $M$ is the midpoint of $AB$. Also, $\vec{OA} = \vec{a}$ and $\vec{OB} = \vec{b}$. The diagram is not drawn to scale.
(a)[1]

Find $\vec{AB}$ in its simplest form, in terms of $a$ and $b$.

(b)[3]

Find $\vec{MC}$ in its simplest form, in terms of $a$ and $b$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: So the answer is $-a+b$.

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