Sib npaug Vectors

Hauv kev tshaj tawm no, peb yuav txiav txim siab seb cov vectors twg yog hu ua vaj huam sib luag thiab yuav ua li cas txiav txim siab lawv qhov sib npaug. Peb tseem yuav txheeb xyuas cov piv txwv ntawm cov haujlwm ntawm lub ncauj lus no.

Cov xwm txheej ntawm kev sib npaug ntawm vectors

Vectors a и b yog sib npaug yog tias lawv muaj tib yam, lawv pw ntawm tib lossis kab sib npaug, thiab tseem taw tes rau tib sab. Ntawd yog, xws li vectors yog collinear, co-directed thiab sib npaug ntawm qhov ntev.

a = b, yog a ↑↑ Ib b thiab |a| = |b|.

Nco ntsoov: vectors sib npaug yog tias lawv cov coordinates sib npaug.

Piv txwv ntawm cov dej num

Txoj Haujlwm 1

Qhov twg ntawm vectors sib npaug: a = {6; 8}, b = {-2; 5} и c = {6; 8}.

Kev txiav txim siab:

Ntawm cov teev vectors yog sib npaug a и c, txij li thaum lawv muaj tib lub coordinates:

a_x = c_x = 6

a_y = c_y = 8.

Txoj Haujlwm 2

Cia peb kawm seb tus nqi dab tsi n cov duab a = {1; 18; 10} и b = {1; 3n ;ua. 10} sib npaug.

Kev txiav txim siab:

Ua ntej, xyuas qhov sib npaug ntawm cov kev paub ua haujlwm:

a_x = b_x = 1

a_z = b_z = 10

Txhawm rau kom muaj vaj huam sib luag muaj tseeb, nws yog qhov tsim nyog a_y = b_y:

3 n = 18, n = 6.