Given that the point P P\,P has position vector 3i−4j+2k3\mathbf{i} - 4\mathbf{j} + 2\mathbf{k}3i−4j+2k and the point Q Q\,Q has position vector i+2j−5k\mathbf{i} + 2\mathbf{j} - 5\mathbf{k}i+2j−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.