can anyone explain how(adsbygoogle = window.adsbygoogle || []).push({}); commutators act on tri-vectors(inorthonormalconditions)?

on bi-vectors i know that it ends up to be a bivector again,

but with tri-vectors it vanishes if its lineraly dependent.

what about the case if its not linearly dependent,

does that mean it remains a tri-vector?

how does a vector transform under a transformation generated by exponentiation of a trivector?

a transformation is a rotation or reflection,

but who can explain the exponentiation?

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# Geometric algebra

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