Let C1 be the curve defined by the vector function r1 (t) = (9 - 2t, -7 +t, 38 - 7t), t20, and C2 be the curve defined by the vector function 12(t) = (7 -4t, -13 + 9t, 23 - 6t), t20. If two particles travel through space along the trajectories given by the vector functions Ij and 12 , where the parameter t is viewed as time, then the particles do not collide. Take this as a fact The paths of the particles are the curves C1 and C2 Do theirs paths intersect? In other words, is there a point in C n C2 ? Find a point in the intersection of the curves C] and C2 , if any. Select the numerical value of the third component (i.e. the z-coordinate) of a point in the intersection C1 ( C2 , if any. Select one: 0 0 0 9 O D.N.E. O 17 0 7 O 15 0 5 O 10 O 2 0 1 O 13 O 20 0 3 O 19 O 11