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 $-a+b$.” …