Vectors PLS ANSWER ASAP

Question

Tuyen walked 2.0 mi due north 5 mi due west 3.0 mi due south, and 1.0 mi due east. How far from starting point?

Answer 1

North and south are opposites, just like east and west are opposites.  So for each pair just subtract the smaller from the larger.

 

3 s - 2 n = 1 mile south

5 w - 1 e = 4 miles west

 

So Tuyen is 1 mile south and 4 miles west of where he started.  This is a right triangle, and we just need to find the hypotenuse.

 

c² = a² + b²

c² = 1² + 4²

c² = 1 + 16 = 17

c = √17 = 4.12 miles