# What is the distance between #(–6, 3, 4) # and #(4, –1, 2)#?

##### 1 Answer

Feb 23, 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

which is equal to

And we are done.