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

Two loudspeakers, 5.5 m apart and facing each other, play identical sounds of the same frequency. you stand halfway between them, where there is a maximum of sound intensity. moving from this point toward one of the speakers, you encounter a minimum of sound intensity when you have moved 0.33 m . assume the speed of sound is 340 m/s.part a) what is the frequency of the sound? part b) if the frequency is then increased while you remain 0.21 m from the center, what is the first frequency for which that location will be a maximum of sound intensity? express your answer to two significant figures and include the appropriate units.