The vectors v and w lie in the xy-coordinate plane such that their initial points are at the origin and both vectors have a magnitude of 1. The direction of vector v is 45° north of east, and the direction of vector w is 45° south of east. What is the magnitude and direction of the vector v + w? A
v + w has a magnitude of 2 and a direction of east.

B
v + w has a magnitude of 2√ and a direction of east.

C
v + w has a magnitude of 2√4 and a direction of east.

D
v + w has a magnitude of 2 and a direction of north.