Question

Write the ordered pair that represents yz. Then find the magnitude of yz.

Y(3, 1), Z(0, 4).

Answer 1

Answer:

YZ=(-3,3)

Magnitude of YZ=$3\sqrt2$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.

$YZ=Z-Y=(0,4)-(3,1)=<-3,3>$

By using the formula

AB=B-A

Magnitude of r=<x,y> is given by

$\mid r\mid=\sqrt{x^2+y^2}$

By using the formula

$\mid YZ\mid=\sqrt{(-3)^2+3^2}$

$\mid YZ\mid=3\sqrt2$units