Two forces F1\mathbf{F}_1F1 and F2\mathbf{F}_2F2 act on a particle. F1=6i−3j+k\mathbf{F}_1 = 6\mathbf{i} - 3\mathbf{j} + \mathbf{k}F1=6i−3j+k and F2=xi+yj+zk\mathbf{F}_2 = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}F2=xi+yj+zk.
The total resultant force acting on the particle is 10i+4j−5k10\mathbf{i} + 4\mathbf{j} - 5\mathbf{k}10i+4j−5k. Calculate the values of the constants xxx, yyy, 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.