Question about the relationship between subspaces and dimension in vector space. Hello I'm wanting to answer this question but I cannot figure out really what to do.
Suppose $\overrightarrow{v_1},\overrightarrow{v_2},\overrightarrow{v_3},\overrightarrow{v_4}$ are vectors in a vector space $V$ with dimension $3$, what are the possible dimensions of the subspace given by $U = Span\{\overrightarrow{v_1},\overrightarrow{v_2},\overrightarrow{v_3},\overrightarrow{v_4}\}$ of $V$?
What I have tried so far: Nothing. Can't think of what to do here.

Hint: A subspace of a finite-dimensional vector space $V$ has always a dimension less than $V$, and dimensions are integers $\{0,1,\ldots\}$.
