Question about?

Question

When giving directions to your house, you tell
someone to drive two miles east, then three
miles north, then one mile west.
What are the components of a vector that
points from his house to yours?
1. The east component of the vector is three
miles; the south component is 3 miles.
2. The east component of the vector is 1
mile; the south component is 3 miles.
3. The west component of the vector is 1
mile; the north component is 3 miles.
4. None of these.
5. The east component of the vector is 1
mile; the north component is 3 miles.
6. The west component of the vector is three
miles; the north component is 3 miles.
7. The west component of the vector is 1
mile; the south component is 3 miles.

Answer 1

The correct answer is choice 5. If you go 2 miles east, 3 miles north, and 1 mile west, your net travel in the east direction is 2 - 1 = 1 mile (because 1 mile west is -1 mile east) and your net travel in the north direction is 3 miles.