Given that the point A A\,A has position vector 2i−6j2\mathbf{i} - 6\mathbf{j}2i−6j and the point B B\,B has position vector −4i+kj-4\mathbf{i} + k\mathbf{j}−4i+kj, where k k\,k is a constant
Find the vector AB⃗\vec{AB}AB in terms of kkk
Find ∣AB⃗∣|\vec{AB}|∣AB∣ in terms of k k\,k
Give 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.