A jumbo jet maintains a constant airspeed of 550 miles per hour​ (mi/hr) headed due north. The jet stream is 90 ​mi/hr in the northeasterly direction. (a) Express the velocity va of the jet relative to the air and the velocity vw of the jet stream in terms of i and j.
(b) Find the velocity of the jet relative to the ground.
(c) Find the actual speed and direction of the jet relative to the ground.