1. The problem statement, all variables and given/known data Can two 4-dimensional subspaces of F62 have exactly 9 vectors in common? Can they have exactly 8 vectors in common? F62 is the 6-dimensional field where each (a1, a2, a3, a4, a5, a6) is an element of F2. 3. The attempt at a solution F62 obviously has 26 = 64 elements. I want to say that if each of the 4 vectors in both subspaces are the same, then there can be up to that are also the same, which would mean that 9 isn't possible, but I don't think that's right at all. Thank you ahead of time for your help.