A particle is acted on by two forces F1 F_1\,F1 and F2F_2F2. Their resultant is (7i−5j)(7\mathbf{i} - 5\mathbf{j})(7i−5j) N. The forces are F1=(3pi−2qj)F_1 = (3p\mathbf{i} - 2q\mathbf{j})F1=(3pi−2qj) N and F2=(2qi+5pj)F_2 = (2q\mathbf{i} + 5p\mathbf{j})F2=(2qi+5pj) N.
Find the values of p p\,p and qqq.
30 exam-style questions on Edexcel AS Level Maths Forces and Motion, covering 10.1 Force Diagrams, 10.2 Forces as Vectors, 10.3 Forces and Acceleration, 10.4 Motion in 2 Dimensions, 10.5 Connected Particles, and 10.6 Pulleys. Each one has a worked solution and a mark scheme showing where the marks go.