Edexcel IGCSE Math B 8.F vector magnitude

Practise vector-magnitude questions by forming the component vector, applying Pythagoras and solving any resulting equation.

Exam points

Find the magnitude of AB from position vectors or coordinate differences.
Use Pythagoras on vector components to calculate exact or decimal magnitudes.
Solve equations where the magnitude of a vector is given as a condition.

[Maximum number: 2]

$21 \overrightarrow{O X}=\binom{2}{5}$ and $\overrightarrow{O Y}=\binom{-2}{7}$

Calculate $|\overrightarrow{X Y}|$ , giving your answer as a surd.

|\overrightarrow{X Y}|=

$|\overrightarrow{XY}|=\sqrt{(-4)^{2}+2^{2}}$ $=\sqrt{20}=2\sqrt{5}$

Final answer:
$2\sqrt{5}$

M1ft: using the magnitude of their $\overrightarrow{XY}$ .
A1: $2\sqrt{5}$ .

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8.F Vector magnitude question 1