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

##### 1 Answer

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 would simplify to

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