Question

Practice

Active
Write the ordered pair that represents yz. Then find the magnitude of yz
Y(3, 1), z{0, 4)

Answer 1

`(y,z)=(3,5)\\\\ |(y,z)|=√(34)`

Explanation:

Given y(3, 1), z(0, 4)

-The ordered pair is written by summing their corresponding coordanates as below:

`(y,z)=y(3,1)+z(0,4)\\\\=(3+0,1+4)\\\\=(3,5)`

-We then calculate the magnitude of this ordered pair as following:

`|y,z|=√(y^2+z^2)\\\\=√(3^2+5^2)\\\\=√(34)\\\\\therefore |(y,z)|=√(34)`

Hence, the magnitude of the ordered pair is
`√(34)`