1. The problem statement, all variables and given/known data The question is: if vectors v1, v2, v3 belong to a vector space V does it follow that: span (v1, v2, v3) = V span (v1, v2, v3) is a subset of V. 2. The attempt at a solution: If I understand it correctly the answer to both questions is yes. The first: the linear combinations of these three vectors fill the space V. Am I correct? I would like to make sure if I have understood the definitions.