Talk:Geometric algebra: Difference between revisions
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::Nothing in the text I quoted requires the existence of a scalar product. You did mention scalar product elsewhere, but not in the quoted axioms. See also: http://mathworld.wolfram.com/VectorSpace.html --[[User:Rdm|Rdm]] ([[User talk:Rdm|talk]]) 17:37, 21 October 2015 (UTC)
:::I was referring to your mention of the orthonormal basis being a constraint to the task. The existence of a scalar product, and thus of an orthonormal basis, is a consequence of the axioms. It is thus not a constraint.--[[User:Grondilu|Grondilu]] ([[User talk:Grondilu|talk]]) 19:02, 21 October 2015 (UTC)
::::Sure, all vector spaces have a basis but there's nothing in those axioms that say anything about the dimension of that basis. --[[User:Rdm|Rdm]] ([[User talk:Rdm|talk]]) 20:46, 21 October 2015 (UTC)
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