The resultant of two forces F1 F_1\,F1 and F2 F_2\,F2 is (5i+7j)(5\mathbf{i} + 7\mathbf{j})(5i+7j) N. Given that F1=(pi−2qj)F_1 = (p\mathbf{i} - 2q\mathbf{j})F1=(pi−2qj) N and F2=(2qi+3pj)F_2 = (2q\mathbf{i} + 3p\mathbf{j})F2=(2qi+3pj) N show that p=3p = 3p=3 and q=1q = 1q=1.
Show that p=3p = 3p=3 and q=1q = 1q=1.
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.