(a)[1]
Show that $\overrightarrow{PS} = 2\mathbf{b}$.
(b)[2]
Write down the mathematical name of the quadrilateral PQR M, and include reasons for your answer.
Mathematics 0580 · IGCSE · Vectors in two dimensions
Vectors in two dimensions — practice question
PQRS is a quadrilateral, and M lies at the midpoint of PS.
$\overrightarrow{PQ} = \mathbf{a}$, $\overrightarrow{QR} = \mathbf{b}$ and $\overrightarrow{SQ} = \mathbf{a} - 2\mathbf{b}$.
Diagram labels: points P, Q, R, S and M, together with vectors marked $a$ and $b$. The diagram is NOT TO SCALE.