Gif two objects travel through space along two different curves, it is often important to know whether they will collide. the curves might intersect, but we need to know whether the objects are in the same position at at the same time. suppose the trajectories of two particles are given by the vector functions: ~r(t) = t 2 , 7t − 12, t2 ~s(t) = 4t − 3, t2 , 5t − 6