Given that the point A A\,A has position vector 2i−6j2\mathbf{i} - 6\mathbf{j}2i−6j and the point B B\,B has position vector −4i+7j-4\mathbf{i} + 7\mathbf{j}−4i+7j
Find the vector AB⃗\vec{AB}AB
Find ∣AB⃗∣|\vec{AB}|∣AB∣
Give your answer as a surd.
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.
