Question

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

Answer 1

`||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`