(linear algebra) How do I find out that a vector space is the same as another vector space?

I have a vector space consisting of 2 vectors in R^3 and a different vector space consisting of another 2 vectors in R^3. How do I find out whether if they are the same?|||v1, v2 and w1, w2





if v1 x v2 = a (w1 x w2)





where 'a' is a scalar and the 'x' represents the cross product then it is the same space.