Given that the point A A\,A has position vector −5i+7j−3k-5\mathbf{i} + 7\mathbf{j} - 3\mathbf{k}−5i+7j−3k and the point B B\,B has position vector −8i+2j−k-8\mathbf{i} + 2\mathbf{j} - \mathbf{k}−8i+2j−k
Find the vector AB⃗\vec{AB}AB
Find ∣AB⃗∣|\vec{AB}|∣AB∣
Practise AQA A Level Maths 1.13 J: Vectors with exam-style questions for A Level Maths. 122 questions 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, matched to the AQA A Level Maths (7357) 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.