A particle is acted upon by two forces F1\mathbf{F}_1F1 and F2\mathbf{F}_2F2, given by
F1=(i−3j) N, \mathbf{F}_1 = (\mathbf{i} - 3\mathbf{j}) \text{ N}, F1=(i−3j) N, F2=(pi+2pj) N, where p is a positive constant. \mathbf{F}_2 = (p\mathbf{i} + 2p\mathbf{j}) \text{ N}, \text{ where } p \text{ is a positive constant.} F2=(pi+2pj) N, where p is a positive constant.Find the angle between F2\mathbf{F}_2F2 and j\mathbf{j}j.
The resultant of F1\mathbf{F}_1F1 and F2\mathbf{F}_2F2 is R\mathbf{R}R. Given that R\mathbf{R}R is parallel to i\mathbf{i}i, find the value of ppp.
9 exam-style questions on Edexcel A Level Old Maths Vectors. Each one has a worked solution and a mark scheme showing where the marks go.