A scalar, txawm li cas los xij, tsis tuaj yeem muab ntau los ntawm vector Txhawm rau muab tus vector los ntawm qhov ntsuas, tsuas yog muab cov khoom sib xws, uas yog, vector qhov loj ntawm qhov ntsuas qhov loj.. Qhov no yuav ua rau lub vector tshiab nrog tib txoj kev coj tab sis cov khoom ntawm ob qhov loj.
Yuav ua li cas yog tus vector raug muab faib los ntawm tus lej?
Thaum tus vector muab ntau dua los ntawm qhov ntsuas, qhov loj ntawm lub vector yog "scaled" nce lossis nqis. Multiplying ib vector los ntawm ib tug zoo scalar yuav tsuas hloov nws magnitude, tsis yog nws cov kev taw qhia. Thaum tus vector raug muab faib ua qhov tsis zoo, qhov kev taw qhia yuav thim rov qab.
Puas scalar multiplied by a vector or scalar?
Thaum koj muab tus vector los ntawm a scalar, qhov tshwm sim yog vector. Geometrically hais lus, scalar multiplication ua tiav cov hauv qab no: Scalar multiplication los ntawm tus lej zoo uas tsis yog 1 hloov qhov loj ntawm vector tab sis tsis yog nws cov kev taw qhia.
Yuav ua li cas koj muab tus vector npaug rau scalar?
Yuav kom muab tus vector los ntawm qhov ntsuas, muab txhua qhov sib npaug los ntawm qhov ntsuas. Yog →u=⟨u1, u2⟩ muaj qhov loj |→u| thiab kev taw qhia d, ces n→u=n⟨u1, u2⟩=⟨nu1, nu2⟩ qhov twg n yog tus lej tiag tiag, qhov loj yog |n→u|, thiab nws txoj kev taw qhia yog d.
Koj puas tuaj yeem muab cov lej sib npaug?
Scalars and scalar multiplication
Thaum peb ua hauj lwm nrog matrices, peb xa mus rau cov zauv tiag tiag li scalar. Lo lus scalar multiplication yog hais txog cov khoom ntawm tus lej tiag tiag thiab matrix. Hauv scalar multiplication, txhua qhov nkag hauv matrix yog muab sib npaug los ntawm qhov muab scalar
