What is the distance between #(3,-1,-5)# and #(4,-3,6)#?
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 is equal to
This cannot be simplified further, so we are done.