GCSE · Vectors

Vectors on a shapeExam-style questions

Expressing any journey around a figure in terms of two given vectors — why every route gives the same answer, why going against an arrow flips the sign, and why a point splitting a side in the ratio 2:3 sits two fifths along, not two thirds.

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12 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
$PQRS$ is a parallelogram.

$\overrightarrow{PQ} = \mathbf{a}$ and $\overrightarrow{PS} = \mathbf{b}$ .The diagram is a sketch and is not accurately drawn.

(a) Write down, in terms of $\mathbf{a}$ and/or $\mathbf{b}$ , the vector $\overrightarrow{SR}$ .

(b) Give a reason for your answer to part (a).

(c) Find $\overrightarrow{QS}$ in terms of $\mathbf{a}$ and $\mathbf{b}$ .
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