# What is the distance between (13,-13,1) and (22,-1,6)?

What is the distance between (13,-13,1) and (22,-1,6)?
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r2t1orrso
For the distance between two points on a three-dimensional graph, the following formula is used:
$d=|\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}+{\left({z}_{2}-{z}_{1}\right)}^{2}}|$
Here, $\left({x}_{1},{y}_{2},{z}_{1}\right)=\left(13,-13,1\right)$ and $\left({x}_{2},{y}_{2},{z}_{2}\right)=\left(22,-1,6\right)$
Inputting:
$d=|\sqrt{{\left(22-13\right)}^{2}+{\left(-1-\left(-13\right)\right)}^{2}+{\left(6-1\right)}^{2}}|$
$d=|\sqrt{{9}^{2}+{12}^{2}+{5}^{2}}|$
$d=|\sqrt{250}|$
$d=15.81$ units