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Does a vector space satisfy the axioms of a field? I'll think about it when I get home. If it did then you could have a vector space over vectors. :rofl:

Oh and a quick Q about terminology. If we consider the arrows-in-3D-space that we all know and love from high school, do we say that's a 3-D vector space over R, or a vector space over R^3? Would the latter even make sense?

I'm an accountant by the way. :uhh: