# Distance between (1,-2,0) and (0,4,-2)?

Raegan Bray 2022-07-19 Answered
Distance between (1,-2,0) and (0,4,-2)?
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Ryan Hahn
The distance between points in 3 dimensional space is given by
$d=\sqrt{{\left({x}_{A}-{x}_{B}\right)}^{2}+{\left({y}_{A}-{y}_{B}\right)}^{2}+{\left({z}_{A}-{z}_{B}\right)}^{2}}=\sqrt{{\left(1-0\right)}^{2}+{\left(-2-4\right)}^{2}+{\left(0+2\right)}^{2}}=\sqrt{1+36+4}=\sqrt{41}$
$d=\sqrt{{\left({x}_{A}-{x}_{B}\right)}^{2}+{\left({y}_{A}-{y}_{B}\right)}^{2}+{\left({z}_{A}-{z}_{B}\right)}^{2}}=\sqrt{{\left(1-0\right)}^{2}+{\left(-2-4\right)}^{2}+{\left(0+2\right)}^{2}}=\sqrt{1+36+4}=\sqrt{41}$

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