Relative to a fixed origin OOO, the point A A\,A has position vector (2i−3j+4k)(2\mathbf{i} - 3\mathbf{j} + 4\mathbf{k})(2i−3j+4k) and the point B B\,B has position vector (6i+5j−k)(6\mathbf{i} + 5\mathbf{j} - \mathbf{k})(6i+5j−k). D D\,D is the point such that AB⃗=BD⃗\vec{AB} = \vec{BD}AB=BD
Find the position vector of DDD.
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.