A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30° E (see the figure). The jet has a speed of 780 mi/h relative to the air, and the pilot heads the jet in the direction N 45° E. 30° 45° (a) Express the velocity of the wind as a vector in component form. 25i + 212j (b) Express the velocity of the jet relative to the air as a vector in component form. (c) Find the true velocity of the jet as a vector. (Round your answer to two decimal places.) (d) Find the true speed of the jet. (Round your answer to the nearest integer.) mi/h Find the direction of the jet. (Round your answer to the nearest integer.) N 45 x °E

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