Distance between (13,23,-10) and (-3,17,-22)?

dripcima24
2022-09-06
Answered

Distance between (13,23,-10) and (-3,17,-22)?

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Jase Powell

Answered 2022-09-07
Author has **11** answers

The formula for calculating the distance between two points is:

$d=\sqrt{{({{x}_{2}}-{{x}_{1}})}^{2}+{({{y}_{2}}-{{y}_{1}})}^{2}+{({{z}_{2}}-{{z}_{1}})}^{2}}$

Substituting the values from the points in the problem gives:

$d=\sqrt{{({-3}-{13})}^{2}+{({17}-{23})}^{2}+{({-22}+{10})}^{2}}$

$d=\sqrt{{(-16)}^{2}+{(-6)}^{2}+{(-12)}^{2}}$

$d=\sqrt{256+36+144}$

$d=\sqrt{436}=20.881$

$d=\sqrt{{({{x}_{2}}-{{x}_{1}})}^{2}+{({{y}_{2}}-{{y}_{1}})}^{2}+{({{z}_{2}}-{{z}_{1}})}^{2}}$

Substituting the values from the points in the problem gives:

$d=\sqrt{{({-3}-{13})}^{2}+{({17}-{23})}^{2}+{({-22}+{10})}^{2}}$

$d=\sqrt{{(-16)}^{2}+{(-6)}^{2}+{(-12)}^{2}}$

$d=\sqrt{256+36+144}$

$d=\sqrt{436}=20.881$

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