Let V1 = span {(1 0 2)}, and V2 = span{(0 0 1)} (they are colomn, not row)

Observe that V1 and V2 are both vector spaces. A new set of vectors, S, is constructed by taking any vector from V1 and any vector from V2 and adding these 2 vectors together.

why S will also be a vector space?

How to find a basis for S and the dimension of S?