# Distance between (-6,3,4) and (4,-1,2)?

Distance between (-6,3,4) and (4,-1,2)?
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Finnegan Stone
I assume that you know the distance formula (square root of sum of corresponding coordinates squablack)
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 $\sqrt{{\left(a-b\right)}^{2}+{\left(c-d\right)}^{2}}$
We can extend this to be $\sqrt{{\left(a-b\right)}^{2}+{\left(c-d\right)}^{2}+{\left(e-f\right)}^{2}}$
This problem is beginning to look a lot easier huh?
We can just plug in the corresponding values into the formula
$\sqrt{{\left(-6-4\right)}^{2}+{\left(3-\left(-1\right)\right)}^{2}+{\left(4-2\right)}^{2}}$
$\sqrt{{\left(-10\right)}^{2}+{\left(4\right)}^{2}+{\left(2\right)}^{2}}$
$\sqrt{120}$