Final answer:
Vectors v1 and v2 span R2 if they are linearly independent and cover the entire two-dimensional space, meaning any vector in R2 can be expressed as a linear combination of v1 and v2.
Step-by-step explanation:
When given vectors v1 and v2 in R2, the span of these vectors refers to all possible linear combinations that can be created using them. If the question is asking whether the span of {v1, v2} equals R2, you must determine if v1 and v2 are linearly independent and span the entire plane. For them to span R2, they must not be scalar multiples of one another (not collinear) and must cover the entire two-dimensional space. If you can express any vector in R2 as a combination of v1 and v2, then they indeed span R2.