The resultant of two forces F1 F_1\,F1 and F2 F_2\,F2 is (7i+4j)(7\mathbf{i} + 4\mathbf{j})(7i+4j) N. Given that F1=(2pi−4qj)F_1 = (2p\mathbf{i} - 4q\mathbf{j})F1=(2pi−4qj) N and F2=(3qi+4pj)F_2 = (3q\mathbf{i} + 4p\mathbf{j})F2=(3qi+4pj) N.
Show that 2p+3q=72p + 3q = 72p+3q=7 and 4p−4q=44p - 4q = 44p−4q=4.
Hence find the values of p p\,p and qqq.
182 exam-style questions on Edexcel A 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.