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.
Practise Edexcel A Level Old Maths Vectors with exam-style questions for A Level Old Maths. 9 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.