Question

What is the distance between `(5, –6, 4)` and `(–2, 2, 6)`?

Answer 1

The distance formula is of the form:
`d^2=(Deltax^2)+(Deltay)^2+(Deltaz)^2` where `Delta` stands for "change in"
Or the difference between one and the other.

Explanation:

Just we just fill in the `x,y,z` co-ordinates:
`d^2=(-2-5)^2+(2--6)^2+(6-4)^2`
`d^2=(-7)^2+(8)^2+(2)^2=49+64+4=117`

And the distance `d` is the square root of this:
`d=sqrt117~~10.82`