Daidaita Vectors

A cikin wannan ɗaba'ar, za mu yi la'akari da wane nau'i ne ake kira daidai da yadda za a tantance daidaito. Za mu kuma bincika misalan ayyuka akan wannan batu.

Yanayin daidaito na vectors

Vector a и b daidai suke idan suna da iri ɗaya, suna kwance akan layi ɗaya ko layi ɗaya, kuma suna nuni zuwa gefe ɗaya. Wato, irin waɗannan vectors suna da collinear, haɗin gwiwa kuma suna daidai da tsayi.

a = b, idan a ↑↑ b kuma |a| = |b|.

lura: vectors daidai ne idan haɗin gwiwar su daidai ne.

Misalan ayyuka

Aiki 1

Wanne daga cikin sifofin ya yi daidai: a = {6; 8}, b = {-2; 5} и c = {6; 8}.

Yanke shawara:

Daga cikin abubuwan da aka lissafa daidai suke a и c, tunda suna da haɗin kai iri ɗaya:

a_x = c_x = 6

a_y = c_y = 8.

Aiki 2

Bari mu gano menene darajar n vectors a = {1; 18; 10} и b = {1; 3n; ku. 10} daidai yake.

Yanke shawara:

Na farko, bincika daidaiton sananniya masu daidaitawa:

a_x = b_x = 1

a_z = b_z = 10

Domin daidaito ya zama gaskiya, wajibi ne hakan a_y = b_y:

3n = 18, saboda haka n = 6.