My $.02, in many domains, there is a semantic difference between a row vector - a (projective) hyper-plane - and its dual: a column vector - e.g. a projective point.
Having the vector ambiguous could cause semantic ambiguity and unit-violation style errors multiplying points as planes and vice versa.
There is the whole issue of Affine Spaces which interact (and wrap) vector spaces. But that discussion is beyond the scope of this thread.
Keep up the good work,