Given that the point A A\,A has position vector 2i−j+3k2\mathbf{i} - \mathbf{j} + 3\mathbf{k}2i−j+3k and the point B B\,B has position vector 5i+2j−k5\mathbf{i} + 2\mathbf{j} - \mathbf{k}5i+2j−k
Find the vector AB⃗\vec{AB}AB
Find ∣AB⃗∣|\vec{AB}|∣AB∣
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.