In: Advanced Math
One particle travels along the path
p1(t) = <2.666 cos(6.405t + 5.149) + 4.430, 2.666 sin(6.405t + 5.149) − 3.610, 11.18t + 6.633>
and another along the path
p2(t) = <1.084t + 3.125, 3.096t − 5.332, −2.925t + 4.377>.
The paths intersect at two points, one of which is a collision. Find the point where the particles collide and the other point where the paths intersect.