# What is the distance between (10,1,-4) and (-1,-1,3)?

$\sqrt{174}$
$\Delta s = \sqrt{\Delta {x}^{2} + \Delta {y}^{2} + \Delta {z}^{2}}$
$= \sqrt{{\left(10 - \left(- 1\right)\right)}^{2} + {\left(1 - \left(- 1\right)\right)}^{2} + {\left(\left(- 4\right) - 3\right)}^{2}} = \sqrt{{11}^{2} + {2}^{2} + {\left(- 7\right)}^{2}}$
$= \sqrt{174}$