Answer:
The answer is 22.62 degrees
Explanation:
First we need to find the angle between west direction and vectors given.
The angle between west direction and vector 1 is arctan(2/3)=33.69
The angle between west direction and vector 2 is arctan(3/2)=56.31
Angle between vector 2 and vector 1 is 56.31-33.69=22.62 degrees