# What is the distance between #(3,-1,-5)# and #(4,-3,6)#?

##### 1 Answer

Mar 4, 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 is equal to

This cannot be simplified further, so we are done.