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**The nose of an ultra light plane is pointed south, and its airspeed indicatorshows 35 m/s. The plane is in a 10 m/s wind blowing toward the southwestrelative to the earth.a. In a vector addition diagram, show the relation of P|E v (the velocity ofthe plane relative to the earth) to the two given vectors.b. Letting x be east and y be north, find the components of P|E v .Find the magnitude and direction of P|E v .**