Dab tsi yog dot khoom muab rau koj?
Dab tsi yog dot khoom muab rau koj?

Video: Dab tsi yog dot khoom muab rau koj?

Video: Dab tsi yog dot khoom muab rau koj?
Video: Uv koj los laus tsis zoo dab tsi by nkaujnoog hawj 2024, Tej zaum
Anonim

Ua ntej peb hais tias tus dot khoom sawv cev rau angular kev sib raug zoo ntawm ob vectors, thiab sab laug nws ntawm that. Yog hais tias, tus dot khoom ntawm ob vectors yuav sib npaug rau cov cosine ntawm lub kaum sab xis ntawm cov vectors, lub sij hawm qhov ntev ntawm txhua qhov vectors.

Dhau li ntawm no, cov khoom dot qhia tau dab tsi rau koj?

Dot Khoom . Cov dot khoom yog li ntawd muaj geometric txhais raws li qhov ntev ntawm qhov projection ntawm mus rau lub tsev vector thaum ob vectors yog muab tso kom lawv tails coincide.

Cov khoom lag luam tsis zoo txhais li cas? Yog tias A thiab B yog perpendicular (ntawm 90 degrees rau ib leeg), qhov tshwm sim ntawm qhov dot khoom yuav yog xoom, vim cos(Θ) yuav yog xoom. Yog tias lub kaum sab xis ntawm A thiab B yog siab dua 90 degrees, lub dot khoom yuav yog tsis zoo (tsawg dua xoom), raws li cos (Θ) yuav tsis zoo , thiab thevector lengths yog ib txwm muaj txiaj ntsig zoo.

Ib yam li ntawd, nws tau nug, dab tsi yog qhov khoom ntawm ob lub vectors qhia rau koj?

Vector Dot khoom yog ib qho algebraicoperation uas yuav siv ob sib npaug-ntev sib npaug ntawm cov lej (feem ntau ua haujlwm cov duab ) thiab rov qab ib tus lej (ua piv txwv nrog tus lej tiag.) i.e.

Yuav ua li cas tshwm sim thaum lub dot khoom yog 0?

Conversely, tib txoj kev uas dot khoom tuaj yeem yog xoom yog yog lub kaum sab xis ntawm ob vectors yog 90degrees (los yog trivally yog ib los yog ob leeg ntawm vectors yog tus xoom vector). Yog li ntawd, ob qho tib si xoom vectors muaj dotproduct xoom yog tias thiab xwb yog lawv yog orthogonal.

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