After travelling 32 km North; then 18 km East; then 21 km South; then 7 km West, in which direction is the traveller from the starting point?

Step 1: Place the start at O(0,0); positive x means East and positive y means North. | Step 2: Combine East and West moves: the net horizontal coordinate is x = 11 km. | Step 3: Combine North and South moves: the net vertical coordinate is y = 11 km. | Step 4: Thus the final point is (11,11); its x-sign points East and its y-sign points North. | Step 5: Combining those two directions places the point in the North-East quadrant. | Step 6: Therefore the traveller is North-East of the starting point; distance is unnecessary because only direction is asked. | Final Answer: Option B — North-East.