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A space train departs from the station at (5, -2, O) at 1:00 pm. For 2 hours, it has a velocity of (-1, O, '7)

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A space train departs from the station at (5, -2, O) at 1:00 pm. For 2 hours, it has a velocity of (-1, O, '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 usingthe two distinct strategies we learned. c) During the time that the train traveled from the station to the town, what is the longest and the shortest distance to the city

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