AmaVector alinganayo

Kulolu shicilelo, sizocubungula ukuthi yimaphi ama-vector abizwa ngokuthi ayalingana nokuthi anganquma kanjani ukulingana kwawo. Sizophinda sihlaziye izibonelo zemisebenzi kulesi sihloko.

Isimo sokulingana kwama-vector

Ababukeli a и b ziyalingana uma zifana , zilala emigqeni efanayo noma ehambisanayo, futhi zikhomba ohlangothini olufanayo. Okusho ukuthi, ama-vector anjalo angama-collinear, aqondiswe ngokubambisana futhi ayalingana ngobude.

a = b, uma a ↑↑ b kanye |a| = |b|.

Qaphela: ama-vectors ayalingana uma izixhumanisi zawo zilingana.

Izibonelo zemisebenzi

Umsebenzi 1

Imaphi ama-vector alinganayo: a = {6; 8}, b = {-2; 5} и c = {6; 8}.

Isinqumo:

Kuma-vector asohlwini ayalingana a и c, njengoba zinezixhumanisi ezifanayo:

a_x = c_x = 6

a_y = c_y = 8.

Umsebenzi 2

Ake sithole ukuthi ngaliphi inani n zithwala a = {1; 18; 10} и b = {1; 3n; 10} bayalingana.

Isinqumo:

Okokuqala, hlola ukulingana kwezixhumanisi ezaziwayo:

a_x = b_x = 1

a_z = b_z = 10

Ukuze ukulingana kube yiqiniso, kuyadingeka lokho a_y = b_y:

3n = 18, yingakho n = 6.