2. (25 points] Consider the planes Plzz+2y+3z = 6, 732:23yz = I]. With time t as the parameter, nd in vector form the parametric equation of the path of the particle which starts at the point P(33,D,QJ in the plane P1 (check), and travels with speed 2 {units of length per unit time} toward the line of intersection L of the two planes in a direction perpendicular to L. Find the time at which the particle reaches L and the point Q at which the path of the particle intersects L