What is the distance between $(–6, 3, 4)$ and $(–10, –2, 2)$ ?

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Answer 1 · 2016-02-13T10:33:30

The distance is $3sqrt5$ .

The distance between $(x_1,y_1,z_1)$ and $(x_2,y_2,z_2)$ is given by $sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)$ .

Hence distance between $(–6,3,4)$ and $(–10,–2,2)$ is

$sqrt((-10-(-6))^2+(-2-3)^2+(2-4)^2)$ or

$sqrt((-4)^2+(-5)^2+(-2)^2)$ or

$sqrt(16+25+4)$ or $sqrt45$ or $3sqrt5$

What is the distance between (–6, 3, 4) (–6, 3, 4) and (–10, –2, 2) (–10, –2, 2) ?