What is the difference between a vector subset and a vector subspace?

This is quite confusing to me. I know a vector subspace is a vector space within another vector space and is closed under the operations of the vector space it lies in, but how exactly does it differ from vector subsets?|||A vector subspace is a vector subset that is also a vector space. If a subset of a vector space is not a vector space itself, then it is just a vector subset, not a vector subspace.