What is the distance between (-8,1,-3) and (1,4,2)?

May 4, 2017

$\sqrt{115}$

Explanation:

(x,y,z)&(a,b,c)
the distance formula is
$d = \sqrt{{\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} + {\left(z - c\right)}^{2}}$
so
$d = \sqrt{{\left(- 8 - 1\right)}^{2} + {\left(1 - 4\right)}^{2} + {\left(- 3 - 2\right)}^{2}}$
$= \sqrt{81 + 9 + 25}$
$= \sqrt{115}$