2024 Tus sau: Elizabeth Oswald | [email protected]. Kawg hloov kho: 2023-12-17 02:46
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)
Pom zoo:
Puas yog vector kom muaj nuj nqis?
Ceev yog qhov ntau npaum li cas - nws yog tus nqi hloov pauv ntawm qhov kev ncua deb mus los ntawm ib qho khoom, thaum nrawm yog vector ntau - nws yog qhov nrawm ntawm cov khoom hauv ib qho kev taw qhia. Puas nrawm thiab loj vectors? Tus vector sib piv rau qhov hnyav.
Puas yog vector subtraction commutative?
Tshwj tsis yog thaj av muaj tus yam ntxwv 2 (thiab yog tias koj tsis paub qhov txhais tau li cas, koj yuav muaj kev nyab xeeb xav tias nws tsis yog), subtraction tsis sib txuas hauv ib qho chaw tsis muaj dab tsi. Puas vector rho tawm ua raws li txoj cai sib pauv?
Puas yog qhov chaw vector yog lub hauv paus?
Nyob rau hauv lej, ib txheej B ntawm vectors nyob rau hauv vector chaw V yog hu ua a hauv paus yog tias txhua lub ntsiab lus ntawm V yuav raug sau ua ib qho tshwj xeeb raws li kev sib txuas ntawm cov kab sib txuas. Cov ntsiab lus ntawm B. … Ib qhov chaw vector tuaj yeem muaj ntau lub hauv paus;
Puas yog tus vector?
Qhov tshwm sim yog tus vector sum ntawm ob lossis ntau vectors. Nws yog qhov tshwm sim ntawm kev ntxiv ob lossis ntau lub vectors ua ke. … Thaum cov vectors hloov chaw ntxiv, qhov tshwm sim yog qhov tshwm sim los ntawm kev hloov pauv. Tab sis ob lub vectors tuaj yeem muab ntxiv yog tias lawv yog tib yam vectors.
Puas yog daim duab peb sab txoj cai ntawm vector ntxiv?
Daim duab peb sab txoj cai ntawm vector ntxiv hais tias thaum ob lub vectors sawv cev ua ob sab ntawm daim duab peb sab nrog qhov kev txiav txim ntawm qhov loj thiab kev taw qhia, ces sab thib peb ntawm daim duab peb sab sawv cev qhov loj thiab kev taw qhia ntawm resultant vector.
