Question

What is the distance between `(0, 0, 8)` and `(0, 6, 0)`?

Answer 1

I assume that you know the distance formula (square root of sum of corresponding coordinates squared)
Well, that formula can actually be EXTENDED to the third dimension. (This is a very powerful thing in future mathematics)
What that means is that instead of the known

`sqrt((a-b)^2 + (c-d)^2`

We can extend this to be
`sqrt((a-b)^2 + (c-d)^2 + (e-f)^2`

This problem is beginning to look a lot easier huh?
We can just plug in the corresponding values into the formula

`sqrt((0-0)^2 + (0-6)^2 + (8-0)^2`

`sqrt((0)^2 + (-6)^2 + (8)^2)`

This becomes `sqrt(36+64)`

Which is `sqrt(100)`

This would simplify to `10`

ALTERNATIVELY,
We can see that the x value doesn't change (goes from 0 to 0), so we can really just turn this into a 2 dimensional distance formula, meaning we don't have to extend this and just use

`sqrt((a-b)^2 + (c-d)^2`