The midpoint of AB AB\,AB has position vector (2−523)\displaystyle \begin{pmatrix} 2 \\ -\frac{5}{2} \\ 3 \end{pmatrix}2−253 and AB⃗=(2−3−2)\vec{AB} = \begin{pmatrix} 2 \\ -3 \\ -2 \end{pmatrix}AB=2−3−2.
Find the position vectors of A A\,A and BBB.
Find the exact length of ABABAB.
The point P P\,P has position vector (421)\begin{pmatrix} 4 \\ 2 \\ 1 \end{pmatrix}421. The quadrilateral ABPQ ABPQ\,ABPQ is a parallelogram. Find the position vector of QQQ.
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.