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.
309 exam-style questions on Edexcel A Level Maths Vectors, covering 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics. Each one has a worked solution and a mark scheme showing where the marks go.