Maya follows a maze by going: 3 m north, 2 m west, 1 m south, 1 m west, 2 m north, 6 m east, and 2 m north. What is her final displacement in a north/south direction.

Answer 1

north:
3 -1 +2 +2

Answer 2

Disp. = 3i - 2 -1i - 1 + 2i + 6 + 2i.
Combine like-terms:
Disp. = 3 + 6i = 6.71m[63.4o].