u=−i+9j−4k\mathbf{u} = -\mathbf{i} + 9\mathbf{j} - 4\mathbf{k}u=−i+9j−4k and v=xi+yj+zk\mathbf{v} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}v=xi+yj+zk
Given that the resultant displacement of u\mathbf{u}u and v\mathbf{v}v is 5i−3j+2k5\mathbf{i} - 3\mathbf{j} + 2\mathbf{k}5i−3j+2k, find the values of xxx, y y\,y and zzz.
Find the values of xxx, y y\,y and zzz.
168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.