Question

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

Answer 1

Step-by-step 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=√((3)^2+(-2)^2) \\ \\ \mid \vec{yz} \mid=√(9+4) \\ \\ \mid \vec{yz} \mid=√(13)`