A-level · Vectors

Magnitude and direction of a vectorExam-style questions

The magnitude of a vector as Pythagoras on its components (left as an exact surd), unit vectors as a vector scaled to length one, direction as an angle or bearing, and finding the angle in a vector triangle with the cosine rule.

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8 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
Triangle $PQR$ has $\vec{PQ} = 2\mathbf{i} + 2\mathbf{j} - \mathbf{k}$ and $\vec{QR} = 2\mathbf{i} - \mathbf{j} + 2\mathbf{k}$ . Find the size of angle $PQR$ .
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