A space train departs from the station at (5, -2, 0) at 1:00 pm. For 2 hours, it has a velocity of (-1, 0, 7) kilometers per hour to reach a town. Then it turns to have the velocity of(0, 7,1) kilometers per hour and runs for 3 hours to reach a city. Each unit is 1 km. a) What is the coordinate of the city? What is the direct distance between the city and the station? b) The station, the town, and the city form a plane. Express the equations of this plane using the two distinct strategies we learned. c) Use Calculus concepts to answer this: during the time that the train traveled from the station to the town, what is the longest and the shortest distance to the city