The points PPP, QQQ, R R\,R and S S\,S have position vectors p=i−3j+6k\mathbf{p} = \mathbf{i} - 3\mathbf{j} + 6\mathbf{k}p=i−3j+6k, q=16i+3j−6k\mathbf{q} = 16\mathbf{i} + 3\mathbf{j} - 6\mathbf{k}q=16i+3j−6k, r=−2i+5j+k\mathbf{r} = -2\mathbf{i} + 5\mathbf{j} + \mathbf{k}r=−2i+5j+k and s=8i+9j−7k\mathbf{s} = 8\mathbf{i} + 9\mathbf{j} - 7\mathbf{k}s=8i+9j−7k
Show that PQ⃗\vec{PQ}PQ is parallel to RS⃗\vec{RS}RS
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.