An airplane is located at position (6,7,5) at noon and is traveling with velocity 400????+500????−???? kilometers per hour. The pilot spots an airport at position (26,32,0).
(a) At what time will the plane pass directly over the airport? (Assume that the plane is flying over flat ground and that the vector k points straight up.)
(b) How high above the airport will the plane be when it passes?