The points P P\,P and Q Q\,Q have position vectors (2−14)\begin{pmatrix} 2 \\ -1 \\ 4 \end{pmatrix}2−14 and (53−2)\begin{pmatrix} 5 \\ 3 \\ -2 \end{pmatrix}53−2 respectively.
Find the exact length of PQPQPQ.
Practise Edexcel A Level Maths Vectors with exam-style questions for A Level Maths. 123 questions covering 11.1 Vectors, 11.2 Representing Vectors, 11.3 Magnitude and Direction, 11.4 Position Vectors, 11.5 Solving Geometric Problems, and 11.6 Modelling with Vectors, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.