(a)[2]
Determine $\vec{MN}$. Express your answer using $\mathbf{a}$ and/or $\mathbf{b}$, in the simplest possible form.
(b)[3]
Find the position vector of S. Express your answer in terms of $\mathbf{a}$ and/or $\mathbf{b}$, in its simplest form.
Mathematics 0580 · IGCSE · Vector geometry
Vector geometry — practice question
O is the origin, and OPQR forms a parallelogram.
M lies halfway along PQ, while N divides QR in the ratio $2 : 1$.
$\vec{OP}=\mathbf{a}$ and $\vec{OR}=\mathbf{b}$.