What is the distance between $(1,3,-6)$ and $(-5,1,6)$ ?

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Answer 1 · 2016-03-08T06:51:43

$13.565$

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 distance between $(1,3,−6)$ and $(−5,1,6)$ is

$sqrt(((-5)-1)^2+(1-3)^2+(6-(-6))^2)$ or

$sqrt((-6)^2+(-2)^2+(6+6)^2)$ or

$sqrt(36+4+144)$ or $sqrt184$ or $13.565$

What is the distance between (1,3,-6)(1,3,-6) and (-5,1,6)(-5,1,6)?