import math
def dotproduct(v1, v2):
return sum((a*b) for a, b in zip(v1, v2))
def length(v):
return math.sqrt(dotproduct(v, v))
def angle(v1, v2):
return math.acos(dotproduct(v1, v2) / (length(v1) * length(v2)))
if __name__ == '__main__':
v = [2,3,0]
u = [-4,-3,4]
angle_ = angle(v,u)
print math.degrees(angle_)