Chopangidwa chophatikizana cha ma vector awiri, mwachitsanzo ma vector A dani B yolembedwa ngati A x B (A mtanda BKuchulukitsa kwa mtanda kumatchedwa kuchulukitsa kwa vekitala chifukwa zotsatira za kuchulukitsa kumeneku zimapanga kuchuluka kwa vekitala.
Mwachitsanzo, vekitala A ndi vekitala B zikuwoneka ngati chithunzi chili pansipa.
Kufotokozera zinthu zosiyanasiyana pakati pa ma vector A dani B (A x B), timajambula vekitala A dani B monga momwe zasonyezedwera pachithunzi pamwambapa, komanso zomwe zafotokozedwa zigawo za vekitala B ndi yolunjika ku A, yomwe ndi yofanana ndi B sin theta.
Motero, tikhoza kufotokoza kukula kwa zotsatira za mtanda wa ma vector. A dani B (A x B) monga chipatso cha kukula kwa vekitala A ndi zigawo za vekitala B chopingasa kwa vekitala A.
Zingatani Zitati A x B tabwerera ku kukhalapo B x A ?
Choyamba, tiyeni tijambule vekitala B dani A ndi zigawo za vekitala A yomwe ili yolunjika ku B
Kutengera chithunzichi, titha kufotokoza zomwe zimachitika pakati pa ma vectors B dani A (B x A) monga chipatso cha kukula kwa vekitala B ndi zigawo za vekitala A chopingasa kwa vekitala BYolembedwa mwa masamu:
Malangizo a Kuchulukitsa Mtanda A x B
Chogulitsa chopingasa ndi chinthu chopangidwa ndi vector, kotero chinthucho chili ndi kukula ndi njira. Kukula kwa chinthu chopangidwa ndi vector kwachokera pamwambapa; tsopano dziwani komwe chikupita. Kuti mudziwe komwe chikupita A x BChoyamba timajambula mavekitala A ndi B monga momwe zasonyezedwera pansipa. Timayika mavekitala awiriwa mu planeti.
Kuchulukitsa kwa mtanda A x B imafotokozedwa ngati vekitala yolunjika ku ndege yomwe vekitalayo A dani B ili pamalopo. Kukula kwake ndi kofanana ndi AB tchimo titi. Ngati C = A x B Maka C = AB tchimo titi
Malangizo C yolunjika ku ndege yomwe vector A dani B komwe kuli. Tingagwiritse ntchito lamulo la dzanja lamanja kuti tidziwe komwe kuli CNgati tigwira zala zathu motsatizana ndi momwe zimakhalira ndi kuzungulira kwa wotchi, ndiye kuti njira yake ndi C mbali yomweyo imene chala chachikulu chikuloza mmwamba.
Malangizo a Kuchulukitsa Mtanda B x A
Kudziwa komwe akupita B x AChoyamba, timajambula vekitala B dani A monga chithunzi chili pansipa. Timayika ma vector awiriwa mu ndege.
Ngati C = B x A Maka C = BA sin teta.
Kulunjika kwa C kuli kolunjika ku ndege komwe vekitala ili B dani A komwe kuli. Tingagwiritse ntchito lamulo la dzanja lamanja kuti tidziwe komwe kuli CNgati tigwira zala zathu motsatira njira yozungulira manja mozungulira, ndiye kuti njirayo ikupita C mofanana ndi momwe chala chachikulu chikulozera pansi.
A x B si wofanana ndi B x A. Chogulitsa chosakanikirana chimabweretsa kuchuluka kwa vekitala, komwe kupatula kukula kwake, kumakhalanso ndi komwe kukupita. Mu dontho lomwe lili pamwambapa, komwe kukupita A x B njira yosiyana ndi B x A.
Zinthu zina zokhudza kuchulukitsana zomwe muyenera kudziwa:
1. Kuchulukitsana kwa anthu osiyanasiyana n’kotsutsana ndi kusintha kwa zinthu.
A x B =- B x A
Chizindikiro choyipa chikuwonetsa kuti njira B pada A x B mbali yosiyana B pada B x A.
2. Ngati ma vector awiriwa ndi osiyana chopingasa ndiye ngodya yopangidwa ndi 90o. Tchimo 90o = 1. Motero, kukula kwa chinthu chosakanikirana pakati pa ma vector A dani B idzawoneka motere:
A x B = AB tchimo titi = AB tchimo 90o = AB
B x A = BA tchimo titi = BA tchimo 90o = BA
3. Ngati ma vector onse awiri ali mbali imodzi, ndiye kuti ngodya yopangidwa ndi 0o.
Tchimo 0o = 0. Motero, mtengo wa mtanda pakati pa ma vector A dani B idzawonekera motere.
A x B = AB tchimo theta = AB sin 0o = 0
B x A = BA tchimo theta = BA sin 0o = 0
