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∣
Practise Edexcel A Level Maths Vectors with exam-style questions for A Level Maths. 100 questions covering 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.