Three forces act on a crate: F1=10i−3j+2k\mathbf{F}_1 = 10\mathbf{i} - 3\mathbf{j} + 2\mathbf{k}F1=10i−3j+2k, F2=−4i−6j+5k\mathbf{F}_2 = -4\mathbf{i} - 6\mathbf{j} + 5\mathbf{k}F2=−4i−6j+5k and F3=−2i+12j−3k\mathbf{F}_3 = -2\mathbf{i} + 12\mathbf{j} - 3\mathbf{k}F3=−2i+12j−3k.
Find the resultant force.
168 exam-style questions on AQA A Level Maths 1.13 J: Vectors, covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.