A particle is acted on by three forces F1=3i−4j+6k\mathbf{F}_1 = 3\mathbf{i} - 4\mathbf{j} + 6\mathbf{k}F1=3i−4j+6k, F2=−5i+2j−k\mathbf{F}_2 = -5\mathbf{i} + 2\mathbf{j} - \mathbf{k}F2=−5i+2j−k and F3=4i+9j+3k\mathbf{F}_3 = 4\mathbf{i} + 9\mathbf{j} + 3\mathbf{k}F3=4i+9j+3k.
Find the resultant force.
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.