Given that the point P P\,P has position vector 4i+5j−k4\mathbf{i} + 5\mathbf{j} - \mathbf{k}4i+5j−k and the point Q Q\,Q has position vector −2i+3j+5k-2\mathbf{i} + 3\mathbf{j} + 5\mathbf{k}−2i+3j+5k
Find the vector PQ⃗\vec{PQ}PQ
Find ∣PQ⃗∣|\vec{PQ}|∣PQ∣
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.