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.
Show that the exact length of AB AB\,AB is 53\sqrt{53}53.
309 exam-style questions on Edexcel A Level Maths Vectors, covering 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics. Each one has a worked solution and a mark scheme showing where the marks go.