Rau qhov dav dav bivectors qhov loj tuaj yeem suav tau los ntawm kev coj tus qauv ntawm tus bivector suav tias yog a vector hauv qhov chaw ⋀2R . Yog hais tias qhov magnitude yog xoom ces tag nrho cov bivector lub Cheebtsam yog xoom, thiab lub bivector yog xoom bivector uas yog ib feem ntawm lub geometric algebra sib npaug ntawm scalar xoom.
Puas Bivector yog tensor?
An antisymmetric tensor of second rank (a.k.a. 2-form).
Puas torque yog Pseudovector?
Lub cev piv txwv ntawm pseudoectorssuav nrog torque, angular tshaj tawm, angular momentum, magnetic field, thiab magnetic dipole moment.
Puas yog cov khoom hla yog cov khoom siv sab nrauv?
Cov khoom siv sab nrauv Raws li tau hais los saum toj no, cov khoom hla tuaj yeem txhais tau peb qhov ntev raws li
Hodge dual ntawm cov khoom sab nrauv. … Yog li, es tsis txhob ua haujlwm binary, nyob rau hauv arbitrary finite qhov ntev, tus ntoo khaub lig khoom yog generalized li Hodge dual ntawm cov khoom sab nrauv ntawm ib co muab n − 1 vectors.
Geometric Algebra in 3D - The Vector-Bivector Product (Part 1)
