1. The problem statement, all variables and given/known data Prove that the intersection of any collection of subspaces of V is a subspace of V. Okay, so I had to look up on wiki what an intersection is. To my understanding, it is basically the 'place' where sets or spaces 'overlap.' I am not sure how to construct the problem in the language of math. If U1,...,Un are subspaces of V then I have show that their intersection includes the additive ID and is closed under addition and scalar multiplication. can someone give me a kick in the right direction?