Given that the point A A\,A has position vector 3i−5j3\mathbf{i} - 5\mathbf{j}3i−5j and the point B B\,B has position vector −4i+6j-4\mathbf{i} + 6\mathbf{j}−4i+6j
Find the vector AB⃗\vec{AB}AB
Find ∣AB⃗∣|\vec{AB}|∣AB∣
Give your answer as a surd.
Hence find a unit vector in the direction of AB⃗\vec{AB}AB.
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.