Final answer:
The possibilities for span(v1) are any vector in the subspace spanned by v1.
Step-by-step explanation:
In linear algebra, the span of a set of vectors refers to all possible linear combinations that can be formed using those vectors. In this case, for the vectors v1 and v2 in Rⁿ, the possibilities for span(v1) are any vector in the subspace spanned by v1.
This means that any vector that lies on the line or plane spanned by v1 is a possibility for span(v1). For example, if v1 is a vector in two dimensions, the span(v1) would be the entire line that v1 lies on. If v1 is a vector in three dimensions, the span(v1) would be the entire plane that v1 lies on.
In general, the span of a set of vectors is the set of all possible linear combinations of those vectors.