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 AQA A Level Maths 1.13 J: Vectors, covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems. Each one has a worked solution and a mark scheme showing where the marks go.