Answer:
(1, -5); (4, 3)
Step-by-step explanation:
We generally orient maps with north at the top. This problem presumes that orientation along with a grid having units of 1 mile. "Town Center" is taken to be the origin of the grid. As is usually the case, left/right coordinates are indicated first in an ordered pair, with up/down coordinates being indicated second.
Then the warehouse location 8 miles south and 3 miles west of Town Center is considered to have coordinates of (-3, -8). Movement 3 miles north and 4 miles east is considered to be translation by (4, 3). This translation vector is the answer to the second part of the problem.
The answer to the first part of the problem is the sum of the starting position and the translation:
(-3, -8) +(4, 3) = (1, -5)
The truck's final position is (1, -5). The translation vector to get it there is (4, 3).
