Mathematics 0580 · IGCSE · Vectors in two dimensions

Vectors in two dimensions — practice question

In the diagram, OA lies parallel to CB. The ratio OA : CB is 4 : 3. $\overrightarrow{OA}=a$ and $\overrightarrow{OB}=b$.

(a)[1]

Find $\overrightarrow{AB}$ expressed in terms of a and b.

(b)[3]

Find $\overrightarrow{AM}$ in terms of a and b, and give your answer in its simplest form.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Hence $\mathbf{b}-\mathbf{a}$.” …