Question

Write the ordered pair that represents vec yz .Then find the magnitude of vec yz Y(- 4, 12), (1, 19)

Answer 1

Answer with Explanation:

We are given that

Y=(-4,12)

Z=(1,19)

We have to find the ordered pair which represents the vector YZ and magnitude of vector YZ.

Vector YZ=Z-Y=<1,19>-<-4,12>

Vector YZ=<5,7>

Magnitude of vector r

`r=xi+yj`

`\mid r\mid=√(x^2+y^2)`

Using the formula

`\vec{YZ}=√(5^2+7^2)`

`\vec{YZ}=√(25+49)=√(74) units`