This is not exactly a homework question. Special relativity question.
See attach. 1.
Two spaceships are passing each other, having their fronts marked F and F'. When F' sees the other's rear passing the front of F', F' fires a rocket. Clearly it misses, since the F SS is contracted. But in the frame of F, F' is contracted and thus, the rocket fire will hit F.
What will happen ?
(I am not sure on the speed of the rocket... I assume it must be near c)
Lorentz transforms, various four vectors...
The Attempt at a Solution
The only way this could happen in my opinion is if the rockets were at an angle to each other (see attach. 2). That is, if the contracted spaceship covered distance AC in the same time the rocket traveled distance AB.
I have never encountered rotations in SR, only in GR (maybe it's only because of the course specifics in my uni).
But spaceships being at an angle seems to be wrong, because of the way ships see each other. That is being parallel, not at some angle...