1. The problem statement, all variables and given/known data Prove that V is a subspace of R4 Actual problem is attached 2. Relevant equations - S contains a zero element - for any x in V and y in V, x + y is in V - for any x in V and scalar k, kx is in V 3. The attempt at a solution Its obvious that V is a subset of R4. And I know I must prove that is it contains zero vector which is obvious. But how to I prove its closure, I can see that it is by looking but how exactly do I denote it?