Cov txheej txheem:
Video: Dab tsi yog qhov khoom ntawm ob lub vectors tib yam?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Algebraically, lub dot khoom yog qhov sum ntawm cov khoom ntawm cov ntawv nkag ntawm lub ob kab zauv ntawm tus lej. Geometrically, nws yog khoom ntawm lub Euclidean magnitude ntawm lub ob vectors thiab lub cosine ntawm lub kaum sab xis ntawm lawv. Cov lus txhais no sib npaug thaum siv Cartesian coordinates.
Ntxiv mus, dab tsi yog qhov khoom dot ntawm tib lub vector?
Cov dot khoom , los yog cov khoom sab hauv ,ob ob cov duab , yog cov sum cov khoom ntawm cov khoom sib thooj. Sib npaug, nws yog tus khoom ntawm lawv qhov loj, lub sij hawm lub cosine ntawm lub kaum sab xis ntawm lawv. Cov dot khoom ntawm a vector nrog nws tus kheej yog lub square ntawm nws qhov loj.
Tom qab ntawd, lo lus nug yog, dab tsi yog qhov khoom ntawm ob vectors sawv cev? Ua ntej peb hais tias tus dot khoom sawv cev kev sib raug zoo ntawm angular ob vectors , thiab tau tso nws ntawm qhov ntawd. Hais tias yog, lub dot khoom ntawm ob vectors yuav muab sib npaug rau lub cosine ntawm lub kaum sab xis ntawm lub cov duab , lub sij hawm qhov ntev ntawm txhua qhov cov duab.
Ib sab saum toj, dab tsi yog qhov khoom ntawm 2 parallel vectors?
Muab ob cov duab , thiab, peb txhais cov dot khoom ,, as cov khoom ntawm qhov loj ntawm ob cov duab multiplied los ntawm lub cosine ntawm lub kaum sab xis ntawm lawv. Ua lej,. Nco ntsoov tias qhov no yog sib npaug rau qhov loj ntawm ib qho ntawm cov cov duab multiplied los ntawm cov khoom ntawm lwm tus vector uas dag thaum uas tig mus rau nws.
Yuav ua li cas koj pom cov khoom dot ntawm vector?
Piv txwv li: xam cov khoom Dot rau:
- a·b = |a| × |b| × cov (90 °)
- a·b = |a| × |b| × 0.
- a·b = 0.
- AB = 12 × 12 + 16 × 9.
- IB = -144+144.
- a·b = 0.
Pom zoo:
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