ROAand ROB are the position vectors of the two particles A and B at time t. If both particles start moving when t = 0, determine whether the particles collide and, if they do, give the value of t when this occurs and the position vector of the point of collision. If they do not, find the time and their distance apart when they are closest together.

 rOA = 3i − 7j + (3i + 2j)t, rOB = 8i − 6j + (2i + j)t.