Consider the lines r(t) =< 2 + 2t, 8+ t, 10 + 3t > and R(u) =< 6+u, 10 - 2u, 16 - u>. a) Determine if the two lines intersect, and if so, give the coordinates of that point. b) Ifr and R describe the paths of two particles, do the particles collide? Assume that t ≥ 0 and u ≥ 0 measure time in seconds, and that the motion starts at u= t = 0.