Carpanedam7

2022-07-18

Distance between (1,3,-3) and (-2,1,-3)?

uavklarajo

Expert

The 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 (1,3,-3) and (-2,1,-3) is
$\sqrt{{\left(-2-1\right)}^{2}+{\left(1-3\right)}^{2}+{\left(-3-\left(-3\right)\right)}^{2}}$
$\sqrt{{\left(-3\right)}^{2}+{\left(-2\right)}^{2}+{0}^{2}}$
$\sqrt{9+4+0}$
$\sqrt{13}=3.6056$

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