Question

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

Answer 1

Answer:

$(y,z)=(3,5)\\\\ |(y,z)|=\sqrt{34}$

Step-by-step 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:

$|y,z|=\sqrt{y^2+z^2}\\\\=\sqrt{3^2+5^2}\\\\=\sqrt{34}\\\\\therefore |(y,z)|=\sqrt{34}$

Hence, the magnitude of the ordered pair is $\sqrt{34}$