Question

What is the distance between `(15,3,-4)` and `(21,-6,-2)`?

Answer 1

`distance=11`

Explanation:

`A=(15,3,-4)`

`a_x=15`
`a_y=3`
`a_z=-4`

`B=(21,-6,-2)`

`B_x=21`
`B_y=-6`
`B_z=-2`

`x^2=(B_x-A_x)^2`

`x^2=(21-15)^2" "x^2=6^2" "x^2=36`

`y^2=(B_y-A_y)^2`

`y^2=(-6-3)^2" "b_y^2=-9^2" "b_y^2=81`

`z^2=(B_z-A_z)^2`

`z^2=(-2+4)^2" "z^2=2^2" "z^2=4`

`distance=sqrt(x^2+y^2+z^2)`

`distance=sqrt(36+81+4)`

`distance=11`