The points P P\,P and Q Q\,Q have position vectors rP=3i−j+4k\mathbf{r}_P = 3\mathbf{i} - \mathbf{j} + 4\mathbf{k}rP=3i−j+4k and rQ=−2i+4j+k\mathbf{r}_Q = -2\mathbf{i} + 4\mathbf{j} + \mathbf{k}rQ=−2i+4j+k respectively.
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. 123 questions covering 11.1 Vectors, 11.2 Representing Vectors, 11.3 Magnitude and Direction, 11.4 Position Vectors, 11.5 Solving Geometric Problems, and 11.6 Modelling with Vectors, 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.