Equal Vectors

Muchinyorwa chino, tichaona kuti ndeapi mavekita anonzi akaenzana uye maitiro ekuona kuenzana kwawo. Tichaongororawo mienzaniso yemabasa pamusoro penyaya iyi.

Mamiriro ekuenzana kwemavheji

vector a и b akaenzana kana ane akafanana , anorara pamitsetse imwe chete kana kuti anoenderana, uyewo anonongedza kudivi rimwe chete. Ndiko kuti, mavheti akadaro ane collinear, anotungamirirwa uye akaenzana pakureba.

a = b, kana a ↑↑ b uye |a| = |b|.

Cherechedza: mavector akaenzana kana macoordesheni awo akaenzana.

Mienzaniso yemabasa

Basa 1

Ndeipi yemavector akaenzana: a = {6; 8}, b = {-2; 5} и c = {6; 8}.

Sarudzo:

Pamavheti akanyorwa akaenzana a и c, sezvo vaine zvirevo zvakafanana:

a_x = c_x = 6

a_y = c_y = 8.

Basa 2

Ngationei kuti ndechipi kukosha n vector a = {1; 18; 10} и b = {1; 3n; 10} vakaenzana.

Sarudzo:

Kutanga, tarisa kuenzana kwezvirongwa zvinozivikanwa:

a_x = b_x = 1

a_z = b_z = 10

Kuti kuenzana kuve kwechokwadi, zvakafanira kuti a_y = b_y:

3n = 18, saka n = 6.