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 AQA A Level Maths 1.13 J: Vectors, covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.