# What is the distance between (–10, –2, 2)  and (–5, –1, 1) ?

Sep 6, 2016

#### Answer:

Use the 3D distance formula.

#### Explanation:

The 3D distance formula is sqrt[(x_2−x_1)^2+(y_2−y_1)^2+(z_2−z_1)^2]

Substitute in to get
$\sqrt{{\left(- 5 - - 10\right)}^{2} + {\left(- 1 - - 2\right)}^{2} + {\left(1 - 2\right)}^{2}}$

$\sqrt{{5}^{2} + {1}^{2} + {\left(- 1\right)}^{2}}$

$\sqrt{25 + 1 + 1}$

$\sqrt{27} = \sqrt{9 \cdot 3}$ = $3 \sqrt{3}$