Answer:
The vector that describes their hike from their starting position to their final destination is .
Step-by-step explanation:
In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:
(i) <em>A group of hikers walks 3 miles east and then 1 mile north:</em>
(ii) <em>After taking a break, they then hike 4 miles east to their final destination:</em>
The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:
(1)
The vector that describes their hike from their starting position to their final destination is .