What is the distance between $(- 2, - 9, 10)$ $(-2,-9,10)$ and $(22, 5, - 6)$ $(22,5,-6)$ ?

Question

1610 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-29T23:09:42

$d = \sqrt{1028}$ $d=sqrt(1028)$

$d = 32.06243908$ $d=32.06243908$

In Euclidean three-space, the distance between points $(x_{1}, y_{1}, z_{1})$ $(x_1,y_1,z_1)$ and $(x_{2}, y_{2}, z_{2})$ $(x_2,y_2,z_2)$ is

$d = \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2} + {(z_{2} - z_{1})}_{2}^{2}}$ $d=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)$

$d = \sqrt{{(22 - - 2)}^{2} + {(5 - - 9)}^{2} + {(- 6 - 10)}^{2}}$ $d=sqrt((22--2)^2+(5--9)^2+(-6-10)^2)$

$d = \sqrt{{(24)}^{2} + {(14)}^{2} + {(- 16)}^{2}}$ $d=sqrt((24)^2+(14)^2+(-16)^2)$

$d = \sqrt{576 + 196 + 256}$ $d=sqrt(576+196+256)$

$d = \sqrt{1028}$ $d=sqrt(1028)$

$d = 32.06243908$ $d=32.06243908$

God bless....I hope the explanation is useful.

What is the distance between (−2,−9,10)(-2,-9,10) and (22,5,−6)(22,5,-6)?