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.
Practise AQA A Level Maths 1.13 J: Vectors with exam-style questions for A Level Maths. 122 questions 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, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
