Consider the following three displacement vectors: Vector A has a magnitude of 3.70 km and a direction that makes an angle of 37.0° north of west, vector B has a magnitude of 7.50 km and a direction that makes an angle of 30.0° south of west, vector has a magnitude of 3.20 km and a direction that makes an angle of 42.0° north of east. Determine the magnitude of the vector Z=B-C+A