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An airplane is located at position (3,4,5) at noon and travelling with velocity 400i + 500j...

An airplane is located at position (3,4,5) at noon and travelling with velocity 400i + 500j - k kilometers per hour. The pilot spots an airport at position (23,29,0).

(a) At what time will the plane pass directly over the airport (assume the airport is flat and that the vector k points straight up.)

(b) How high above the airport will the plane be when it passes?

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