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.
168 exam-style questions on AQA A Level Maths 1.13 J: Vectors, 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. Each one has a worked solution and a mark scheme showing where the marks go.