The wind is blowing from south at 10 ms–1, but to a cyclist it appears to be blowing from the east at 10 ms–1. The velocity of cyclist is
10√2 ms-1 towards S – W
10√2 ms-1 towards N – W
10√2 ms-1 towards S – E
10√2 ms-1 towards N – E
i, j are +ve (+i = east, +j = North)towards N-E