John As you know the leadin 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 n1 grade multivector being the pseudovector No Do you disagree about the common usageOn that basis it is not exactly a misstatement but certainly an easily misread 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   

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John As you know the leadin 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 n1 grade multivector being the pseudovector No Do you disagree about the common usageOn that basis it is not exactly a misstatement but certainly an easily misread 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   

