Answer with Explanation:
We are given that
Y=(-4,12)
Z=(1,19)
We have to find the ordered pair which represents the vector YZ and magnitude of vector YZ.
Vector YZ=Z-Y=<1,19>-<-4,12>
Vector YZ=<5,7>
Magnitude of vector r
[tex]r=xi+yj[/tex]
[tex]\mid r\mid=\sqrt{x^2+y^2}[/tex]
Using the formula
[tex]\vec{YZ}=\sqrt{5^2+7^2}[/tex]
[tex]\vec{YZ}=\sqrt{25+49}=\sqrt{74} units[/tex]
