Vekitari yeyuniti

Kunzwisisa Zvishandiso zveMayuniti 

Vector yeyuniti ivhekitari ine hukuru hwe1. Vector yeyuniti haina mayuniti uye inoshanda kuratidza gwara riri muchadenga. Kuti isiyaniswe nevekitari yenguva dzose, inodhindwa nemabhii matema (emashoko akadhindwa) kana kuti chiratidzo che ^ chinoiswa pamusoro payo (chekunyora).

MuCartesian coordinate system (xyz) tinoshandisa unit vector i kuratidza positive x-axis direction, j kuratidza positive y-axis direction, k kuratidza positive y-axis direction.

Zvikamu zveVector

Kuti zvive nyore kunzwisisa, funga nezvemuenzaniso unotevera. Semuenzaniso, pane vhekita F sezvakaratidzwa mumufananidzo uri pazasi.

Mumufananidzo, vector yeyuniti i inoratidza divi rakanaka re x-axis uye j inoratidza divi rakanaka re y-axis. Tinogona kutaura hukama huripo pakati vekitori yechikamu uye zvikamu zvavo, sezvinotevera:

F _x = F _x i

F _y = F _y j

Tinogona kunyora vector F muzvikamu zvayo seizvi:

F = F _x i + F _y j

Semuenzaniso, kune mavector maviri, A naB mu xy coordinate system , uko mavector maviri aya anoratidzwa maererano nezvikamu zvawo:

A = A _x i + A _y j

B = B _x i + B _y j

Ko kana A naB zvikabatanidzwa pamwe chete?

R = A + B

R = (A_xi + A_yj) + (B_xi + B_yj)

R = (A_x + B_x)i + ((A_y + B_y)j

R = R _x i + R _y j

Kana mavector ese asiri mu xy plane saka tinogona kuwedzera unit vector k, iyo inoratidza positive z-axis direction.

A = A _x i + A _y j + A _z k

B = B _x i + B _y j + B _z k

Kana mavector A naB akawedzerwa , mhinduro dzinotevera dzichawanikwa:

R = A + B

R = (A_xi + A_yj + A_zk) + (B_xi + B_yj + B_zk)

R = (A_x + B_x)i + ((A_y + B_y)j + ((A_z + B_z)k

R = R _x i + R _y j + R _z k