# What is the distance between (–6, 3, 4)  and (–2, 2, 6)?

Dec 22, 2016

$\text{the distance between "(-6,3,4)" and "(-2,2,6)" is "sqrt(21)" units}$

#### Explanation:

$\text{distance between "A(x_1,y_1,z_1) " and " B(x_2,y_2,z_2) " is calculated using :}$

d=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2

$\text{for "A(-6,3,4)" and } B \left(- 2 , 2 , 6\right)$

$d = \sqrt{{\left(- 2 - \left(- 6\right)\right)}^{2} + {\left(2 - 3\right)}^{2} + {\left(6 - 4\right)}^{2}}$

$d = \sqrt{{\left(- 2 + 6\right)}^{2} + {\left(- 1\right)}^{2} + {\left(2\right)}^{2}}$

$d = \sqrt{16 + 1 + 4}$

$d = \sqrt{21}$