Video: Dot khoom txhais li cas?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Hauv lej, the dot khoom los yog khoom scalar yog ib qho kev ua algebraic uas siv ob qhov sib npaug ntawm qhov sib npaug ntawm cov lej (feem ntau ua haujlwm vectors) thiab xa rov qab ib tus lej. Geometrically, nws yog khoom ntawm Euclidean qhov loj ntawm ob lub vectors thiab cosine ntawm lub kaum sab xis ntawm lawv.
Tsis tas li ntawd, qhov khoom dot qhia peb li cas?
Ua ntej peb hais tias tus dot khoom sawv cev rau kev sib raug zoo ntawm ob lub vectors, thiab sab laug nws ntawm qhov ntawd. Hais tias yog, lub dot khoom ntawm ob vectors yuav muab sib npaug rau cov cosine ntawm lub kaum sab xis ntawm cov vectors, lub sij hawm qhov ntev ntawm txhua qhov vectors.
vim li cas dot khoom cos? Hauv dot khoom peb siv cos theta vim nyob rau hauv hom no khoom 1.) Ib tug vector yog qhov projection tshaj lwm tus. 2.) Qhov kev ncua deb yog them raws ib axis los yog nyob rau hauv cov kev taw qhia ntawm quab yuam thiab tsis xav tau perpendicular axis los yog sin theta.
Tom qab ntawd, dot khoom piv txwv yog dab tsi?
Piv txwv : laim Dot Khoom for: a·b = |a| × |b| x cos(θ) a·b = |a| × |b| x cos(90°) a· b = |a| × |b| x 0. a· b = 0.
Nws txhais li cas yog tias qhov khoom dot ntawm ob vectors sib npaug rau xoom?
Thaum dot khoom yog xoom implies lub ob vectors yog perpendicular. Thaum twg ntoo khaub lig khoom yog xoom implies lub ob vectors yog thaum uas tig mus. Ob tug vectors , A thiab B, yog xws li lawv tus ntoo khaub lig khoom , A x B = 0.
Pom zoo:
Cross thiab dot khoom yog dab tsi?
Dot khoom, kev sib cuam tshuam ntawm qhov sib xws (x * x, y * y, z * z) Hla cov khoom, kev sib cuam tshuam ntawm qhov sib txawv (x * y, y * z, z * x, thiab lwm yam)
Qhov qhib dot txhais li cas ntawm kab zauv?
1) Kos tus lej kab. 2) Muab ib lub voj voog qhib lossis kaw qhov chaw saum toj ntawm tus lej muab. Rau ≦ thiab ≧, siv lub kaw lus kom qhia tus lej nws tus kheej yog ib feem ntawm kev daws teeb meem. Rau, siv lub voj voog qhib los qhia tus lej nws tus kheej tsis yog ib feem ntawm kev daws teeb meem
Dab tsi yog cov khoom ntawm dot khoom?
Cov khoom dot ua tiav cov khoom nram qab no yog tias a, b, thiab c yog cov vectors tiag tiag thiab r yog scalar. Commutative: uas ua raws li lub ntsiab lus (θ yog lub kaum sab xis ntawm a thiab b): Distributive tshaj vector ntxiv: Bilinear: Scalar multiplication:
Cov khoom dot txhais li cas?
Hauv kev ua lej, cov khoom dot lossis cov khoom lag luam scalar yog kev ua haujlwm algebraic uas siv ob qhov sib npaug ntawm cov lej (feem ntau ua haujlwm vectors) thiab xa rov qab ib tus lej. Geometrically, nws yog cov khoom ntawm Euclidean magnitudes ntawm ob vectors thiab cosine ntawm lub kaum sab xis ntawm lawv
Thaum lub dot khoom ntawm ob vectors tsis zoo ces kaum ntawm lawv yog?
Yog tias cov khoom lag luam tsis zoo, ces ob lub vectors taw qhia nyob rau hauv cov lus qhia, orabove 90 thiab tsawg dua los yog sib npaug rau 180 degrees