"

John: As you know the lead-in sentence for this article is In mathematics, a bivector is a quantity in geometric algebra that generalizes the idea of a vector. That is, this article in WP is about the bivector in geometric algebra (although it could be redesigned to deal with tensor algebra, I suppose, which topic is presently an afterthought at the end). As such, the section on Vector algebra is a subheading of the main topic, the bivector in geometric algebra. Consequently, the reference to the pseudovector in this subsection should make note of the predominant usage in texts on geometric algebra, namely that the bivector in 3D is the pseudovector, just another example of the (n-1) grade multivector being the pseudovector. No? Do you disagree about the common usage?

On that basis it is not exactly a mis-statement but certainly an easily mis-read statement in the article that says: in geometric algebra axial vectors are usually interpreted as bivectors. In fact, what is usual and less open to misconception is  Ławrynowicz ""Hence in 3D we associate the alternate terms of pseudovector for bivector, and pseudoscalar for the trivector"". I will produce five more quotes from other sources if you wish.   "