What Actually Is a Bivector?

Channel: sudgylacmoe Published: 2023-11-05 111 words Source: auto_caption
Advanced Mathematics & Geometric Physics

Transcript

what is a bi Vector when you're thinking of vectors as oriented line segments bi vectors are commonly described as oriented plane segments however people often get confused when they're told that any two plane segments with the same orientation and magnitude are equal even if they have a different shape so what actually is a b Vector personally I think it's best to think of by vectors as an entire plane with an orientation and a magnitude then a particular plane segment is just one of many representations of the bifactor in general you can think of objects in geometric algebra as representing subspaces with an orientation and a magnitude