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∣
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.