A drone experiences two component force vectors. The resultant is (10i+2j)(10\mathbf{i} + 2\mathbf{j})(10i+2j) N. The forces are F1=(4pi−qj)F_1 = (4p\mathbf{i} - q\mathbf{j})F1=(4pi−qj) N and F2=(qi+3pj)F_2 = (q\mathbf{i} + 3p\mathbf{j})F2=(qi+3pj) 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.