Question

What is the distance between `(-2,1,-13)` and `(4,3,-12)`?

Answer 1

`s=sqrt41`

Explanation:

`A=(-2,1,-13)`
`B=(4,3,-12)`

`A_x=-2`
`A_y=1`
`A_z=-13`

`B_x=4`
`B_y=3`
`B_z=-12`

`"distance between A and B can be calculated by formula:"`
`s=sqrt((B_x-A_x)^2+(B_y-A_y)^2+(B_z-A_z)^2)`

`s=sqrt((4+2)^2+(3-1)^2+(-12+13)^2)`

`s=sqrt(6^2+2^2+1^2)=sqrt(36+4+1)=sqrt(41)`