Question

How do you find the magnitude of YZ given Y(3,1) and Z(0,4)?

Answer 1

`"The Magnitude=3sqrt2~~4.242`.

Explanation:

`Y(3,1) and Z(0,4)`

`:. vec(YZ)=(0,4)-(3,1)=(0-3,4-1)," by Defn."=(-3,3).`

Hence, magnitude of `vec(YZ)=||vec(YZ)||=sqrt{(-3)^2+3^2}=sqrt18=3sqrt2`

`~~3(1.414)=4.242`.