a=−5i+7j\mathbf{a} = -5\mathbf{i} + 7\mathbf{j}a=−5i+7j and b=xi+yj\mathbf{b} = x\mathbf{i} + y\mathbf{j}b=xi+yj
Given that the resultant force of a\mathbf{a}a and b\mathbf{b}b is i−j\mathbf{i} - \mathbf{j}i−j find the values of x x\,x and yyy, and hence find the magnitude of b\mathbf{b}b, giving your answer in exact form.
284 exam-style questions on Edexcel A Level Maths Vectors, covering 11.1 Vectors, 11.2 Representing Vectors, 11.3 Magnitude and Direction, 11.4 Position Vectors, 11.5 Solving Geometric Problems, and 11.6 Modelling with Vectors. Each one has a worked solution and a mark scheme showing where the marks go.