Karsyn Beltran

2022-07-20

Distance between (-1,1,3) and (4,-1,2)?

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Hassan Watkins

Expert

The formula for calculating the distance between two points is:
$d=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}+{\left({z}_{2}-{z}_{1}\right)}^{2}}$
Substituting the values from the problem gives:
$d=\sqrt{{\left(4--1\right)}^{2}+{\left(-1-1\right)}^{2}+{\left(2-3\right)}^{2}}$
$d=\sqrt{{5}^{2}+{\left(-2\right)}^{2}+{\left(-1\right)}^{2}}$
$d=\sqrt{30}=5.48$ rounded to the nearest hundblackth

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