Question

Write the ordered pair that represents yz. Then find the magnitude of yz. 124 12) 2/1, 19)

Answer 1

Explanation:

The given points are:

$y(-2,5) \\ \\ z(1,3)$

So, the vector $\vec{yz}$ is:

$\vec{yz}=\vec{z}-\vec{y} \\ \\ \vec{yz}=(1,3)-(-2,5) \\ \\ \vec{yz}=(1+2,3-5) \\ \\ \vec{yz}=(3,-2)$

And the magnitude:

$\mid \vec{yz} \mid=\sqrt{(3)^2+(-2)^2} \\ \\ \mid \vec{yz} \mid=\sqrt{9+4} \\ \\ \mid \vec{yz} \mid=\sqrt{13}$