Points A and B are such that B is 500m east and 400m north of A. A student travels from A to B by two different routes:
Route 1: Walk straight from A to B in a single line.
Route 2: Walk 500m east to point C, then 400m north to B.
(i) Calculate the distance covered in each route.
(ii) State the magnitude of the displacement for each route.
(iii) Explain why the displacement is the same for both routes although the distances differ.