# What is the distance between #(-2,4,-13)# and #(-4,5,-12)#?

##### 1 Answer

Mar 5, 2016

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

We can extend this to be

This problem is beginning to look a lot easier huh?

We can just plug in the corresponding values into the formula

This becomes

Which is

This cannot be simplified further, so we are done.