The vector v\mathbf{v}v has magnitude 10 and makes an angle of 30° 30°\,30° with the positive xxx-direction.
Express v\mathbf{v}v in the form ai+bja\mathbf{i} + b\mathbf{j}ai+bj, giving a a\,a and b b\,b in exact form.
168 exam-style questions on OCR (MEI) A Level Maths 1.11 Vectors, covering 1.11.1 Language of vectors in two dimensions, 1.11.2 Add, subtract and scale vectors, 1.11.3 Magnitude and direction of a vector, 1.11.4 Position vectors, 1.11.5 Distance between points by position vectors, 1.11.6 Vectors to solve problems, 1.11.7 Language of vectors in three dimensions (A-level only), and 1.11 Vectors. Each one has a worked solution and a mark scheme showing where the marks go.