What is the distance between $(3,-12,12)$ and $(-1,13,-12)$ ?

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Answer 1 · 2016-09-19T07:04:22

The distance betwen $(3,-12,12)$ and $(-1,13,-12)$ is $34.886$

In a three dimensional space, the distance between two points $(x_1,y_1,z_1)$ 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, the distance betwen $(3,-12,12)$ and $(-1,13,-12)$ is

$sqrt(((-1)-3)^2+(13-(-12))^2+((-12)-12)^2)$

= $sqrt((-4)^2+(25)^2+(-24)^2)$

= $sqrt(16+625+576)$

= $sqrt1217$

= $34.886$

What is the distance between (3,-12,12)(3,-12,12) and (-1,13,-12)(-1,13,-12)?