Question

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

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

Answer 1

YZ=(-3,3)

Magnitude of YZ=
`3\sqrt2`units

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=√(x^2+y^2)`

By using the formula

`\mid YZ\mid=√((-3)^2+3^2)`

`\mid YZ\mid=3\sqrt2`units