Two particles are traveling through space. At time t the first particle is at the point
(1 - 2t, 2 - 2t, 5 + 2t)
and the second particle is at
(-3 + 2t, -1 + t, 6 + t)
Describe the two paths in words. Then determine if the two particles collide, cross, or neither cross nor collide to fill in the following.
If they collide or their paths cross, indicate where (if neither is true, enter none).
A collision or crossing occurs at (x, y, z)