Starting point is A

A man walks 3 km to his east i.e. AB = 3 km

He turns left n walks 3 km towards north i.e. BC = 3 km

He turns left n walks 3 km towards west i.e. CD = 3 km

Now He is at D point

D point is in the north direction of starting point.

Hence he is in the north in respect to his starting point.