# What is the distance between (3, 6, 2)  and (0, 6, 0) ?

Mar 16, 2016

#### Answer:

Distance between $\left(3 , 6 , 2\right)$ and $\left(0 , 6 , 0\right)$ is $3.606$

#### Explanation:

Distance between $\left({x}_{1} , {y}_{1} , {z}_{1}\right)$ and $\left({x}_{2} , {y}_{2} , {z}_{2}\right)$ is given by

$\sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2} + {\left({z}_{2} - {z}_{1}\right)}^{2}}$

Hence,distance between $\left(3 , 6 , 2\right)$ and $\left(0 , 6 , 0\right)$ is

$\sqrt{{\left(0 - 3\right)}^{2} + {\left(6 - 6\right)}^{2} + {\left(0 - 2\right)}^{2}}$

= $\sqrt{9 + 0 + 4} = \sqrt{13} = 3.606$