The spacecraft and the asteroid do not intersect at that initial position, but the asteroid is in motion (ominous music playing in background). its location is being translated from the initial location by growing a step α > 0 in direction (∆x, ∆y, ∆z).formulate an lp in terms of decision variables x, y, z, and α to find the smallest step (if any) that will produce a collision between the object and the link, and indicate how the lp would detect the case where no collision will occur