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.
168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.