In triangle ABCABCABC, AB⃗=6i+2j−k\vec{AB} = 6\mathbf{i} + 2\mathbf{j} - \mathbf{k}AB=6i+2j−k, BC⃗=2i−7j+5k\vec{BC} = 2\mathbf{i} - 7\mathbf{j} + 5\mathbf{k}BC=2i−7j+5k
Find the vector AC⃗\vec{AC}AC
Verify that the length of the line AB AB\,AB is 41\sqrt{41}41
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.