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

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Answer 1 · 2016-02-21T05:24:29

$2sqrt3$

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 two points $(1,−1,1)$ and $(−1,1,−1)$ is

$sqrt((-1-1)^2+(1-(-1))^2+(-1-1)^2$

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

or $sqrt12$ i.e. $2sqrt3$ .

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