How do you find the magnitude of YZ given Y(4,2) and Z(2,8)?

1 Answer
Feb 27, 2017

||YZ||=2sqrt10

Explanation:

Magnitude uses the principle of Pythagoras.

If I remember correctly you write magnitude of a vector as ||YZ|| or whatever letter notation is appropriate

||YZ|| = sqrt((x_2-x_1)^2+(y_2-y_1)^20

||YZ|| = sqrt((4-2)^2+(2-8)^2)

||YZ|| = sqrt(4+36) = sqrt 40 = sqrt(2^2xx10)

||YZ||=2sqrt10