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