A dog runs 3 miles and 4 miles west in 6 hours. What’s the dogs total distance and displacement ?

Complete question:

A dog runs 3 miles east and 4 miles west in 6 hours. What’s the dogs total distance and displacement ?

The total distance covered by the dog is  7 miles

The displacement of the dog is 1 mile west

Explanation:

Given;

initial position of the dog = 3 miles east

final position of the dog = 4 miles west

time of motion, t = 6 hours

The total distance covered by the dog is given as;

Total distance = 3 miles + 4 miles = 7 miles

The displacement of the dog is given as;

displacement = final position of the dog  - initial position of the dog

displacement =  4 miles west - 3 miles east = 1 mile west

where are the vectors ?