(a)[2]
Find $\overrightarrow{AC}$, in terms of $\mathbf{a}$ and $\mathbf{b}$, in its simplest form.
(b)[2]
Find the position vector for $C$.
Mathematics 0580 · IGCSE · Vectors in two dimensions
Vectors in two dimensions — practice question
Here, $O$ denotes the origin, $\overrightarrow{OA} = \mathbf{a}$ and $\overrightarrow{OB} = \mathbf{b}$. Point $C$ lies on the straight line $AB$ with $AC : CB = 1 : 2$. The diagram is NOT TO SCALE.