a man lives on the peak of a hill overlooking the city, where he obsererves the daily routine of three tranportation services, he lables 1, 2 and 3. using the station as the origins he observes each carriage movement relative to the three origin( 0,0)

on a particular day he observes a plane leaving the point of the origin at station 1 at 07:30hrs the plane was located at the point (tan theata{i }+j) i dont know how to write the mathematical symbol for theata. i am asked to find the distance in its simplies form, traveled by the plane in the thirty minute period.

now on the same day he observes the position of two buses, given by the following vectors x=(T+1)i +3j and y=i=(t-1)j, where t is a real number, am now asked to find the values of t for which the buses given by x and y are parallel..

i would like to see how this question is solved so i can try a similar one given to me... am use to vectors in its simpliest form