A small drone is subject to three forces F1=6i+5j−4k\mathbf{F}_1 = 6\mathbf{i} + 5\mathbf{j} - 4\mathbf{k}F1=6i+5j−4k, F2=−2i+3j+8k\mathbf{F}_2 = -2\mathbf{i} + 3\mathbf{j} + 8\mathbf{k}F2=−2i+3j+8k and F3=−5i−9j+k\mathbf{F}_3 = -5\mathbf{i} - 9\mathbf{j} + \mathbf{k}F3=−5i−9j+k.
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.