# Distance between (3,13,10) and (3,-17,-1)?

Distance between (3,13,10) and (3,-17,-1)?
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Distance between two points $\left({x}_{1},{y}_{1},{z}_{1}\right)$ and $\left({x}_{2},{y}_{2},{z}_{2}\right)$ is given by
$\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}+{\left({z}_{2}-{z}_{1}\right)}^{2}}$
Hence distance between (3,13,10) and (3,-17,-1) is
$\sqrt{{\left(3-3\right)}^{2}+{\left(\left(-17\right)-13\right)}^{2}+{\left(\left(-1\right)-10\right)}^{2}}=\sqrt{{\left(0\right)}^{2}+{\left(-17-13\right)}^{2}+{\left(-1-10\right)}^{2}}$
$\sqrt{{\left(0\right)}^{2}+{\left(-30\right)}^{2}+{\left(-11\right)}^{2}}=\sqrt{0+900+121}$
$\sqrt{1021}=31.95$