Vectors siman

Daabacaadan, waxaynu ku eegi doonaa vectors-ka loo yaqaan sinnaanta iyo sida loo go'aamiyo sinnaanta. Waxaan sidoo kale falanqeyn doonaa tusaalooyinka hawlaha mowduucan.

Xaaladda sinnaanta vectors

Gawaarida a и b waa la siman yahay haddii ay isku mid yihiin, waxay ku jiifsadaan xariiqyo isku mid ah ama barbar socda, waxayna sidoo kale tilmaamayaan isla dhinac. Taasi waa, vectors noocan oo kale ah waa kollinear, wada-hagidda iyo siman dhererka.

a = b, haddii a ↑↑ b iyo |a| = |b|.

Fiiro gaar ah: vectors waa siman yihiin haddii isku-duwayaasha ay siman yihiin.

Tusaalooyinka hawlaha

Hawsha 1

Keebaa siman a = {6; 8}, b = {-2; 5} и c = {6; 8}.

Go'aanka:

Qaybaha liiska ku jira waa siman yihiin a и c, maadaama ay leeyihiin isku-duwayaal isku mid ah:

a_x = c_x = 6

a_y = c_y = 8.

Hawsha 2

Aynu ogaano qiimaha ay leedahay n fallaadhaha a = {1; 18; 10} и b = {1; 3n; 10} waa isku mid.

Go'aanka:

Marka hore, hubi sinnaanta isku-duwayaasha la yaqaan:

a_x = b_x = 1

a_z = b_z = 10

Si ay sinnaantu run u noqoto, waa lagama maarmaan taas a_y = b_y:

3n = 18, markaa n = 6.