Answer:
YZ=(-3,3)
Magnitude of YZ=[tex]3\sqrt2 [/tex]units
Step-by-step explanation:
We are given that
Y(3,1) and Z(0,4)
We have to find the ordered pair that represents YZ and the magnitude of YZ.
[tex]YZ=Z-Y=(0,4)-(3,1)=<-3,3>[/tex]
By using the formula
AB=B-A
Magnitude of r=<x,y> is given by
[tex]\mid r\mid=\sqrt{x^2+y^2}[/tex]
By using the formula
[tex]\mid YZ\mid=\sqrt{(-3)^2+3^2}[/tex]
[tex]\mid YZ\mid=3\sqrt2 [/tex]units
