a=2i−j+3k\mathbf{a} = 2\mathbf{i} - \mathbf{j} + 3\mathbf{k}a=2i−j+3k and b=xi+yj+zk\mathbf{b} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}b=xi+yj+zk
Given that the resultant force of a\mathbf{a}a and b\mathbf{b}b is 5i+3j+5k5\mathbf{i} + 3\mathbf{j} + 5\mathbf{k}5i+3j+5k find the values of xxx, y y\,y and zzz
Write down a vector equation relating a\mathbf{a}a, b\mathbf{b}b and the resultant force.
Hence find the values of xxx, y y\,y and zzz.
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.