Two forces act on a small object. The resultant force is (−4i+11j)(-4\mathbf{i} + 11\mathbf{j})(−4i+11j) N. The forces are F1=(pi+3qj)F_1 = (p\mathbf{i} + 3q\mathbf{j})F1=(pi+3qj) N and F2=(4qi−2pj)F_2 = (4q\mathbf{i} - 2p\mathbf{j})F2=(4qi−2pj) 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.