a=10i−5k\mathbf{a} = 10\mathbf{i} - 5\mathbf{k}a=10i−5k and b=xi+yj+zk\mathbf{b} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}b=xi+yj+zk
Given that the resultant of a\mathbf{a}a and b\mathbf{b}b is 2i−4j+6k2\mathbf{i} - 4\mathbf{j} + 6\mathbf{k}2i−4j+6k, 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.