OCR MEI Paper 1 2020 November — Question 3

Exam BoardOCR MEI
ModulePaper 1 (Paper 1)
Year2020
SessionNovember
TopicVectors 3D & Lines

3 The points \(A\) and \(B\) have position vectors \(\mathbf { a } = \left( \begin{array} { r } 3
2
- 1 \end{array} \right)\) and \(\mathbf { b } = \left( \begin{array} { r } - 1
4
8 \end{array} \right)\) respectively.
Show that the exact value of the distance \(A B\) is \(\sqrt { \mathbf { 1 0 1 } }\).