The points A A\,A and B B\,B have position vectors (−351)\begin{pmatrix} -3 \\ 5 \\ 1 \end{pmatrix}−351 and (147)\begin{pmatrix} 1 \\ 4 \\ 7 \end{pmatrix}147 respectively.
Find the exact length of ABABAB.
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.
