# What is the distance between  (–2, 1, 3)  and (3, 2, 1) ?

Dec 20, 2015

$\sqrt{30}$ units

#### Explanation:

Assuming these as either 2 points or 2 vectors in 3-dimensional space ${\mathbb{R}}^{3}$, which is a metric space, we may use the normal Euclidean metric to find the distance between the 2 elements as :

$d \left(\left(- 2 , 1 , 3 ,\right) , \left(3 , 2 , 1\right)\right) = \sqrt{{\left(- 2 - 3\right)}^{2} + {\left(1 - 2\right)}^{2} + {\left(3 - 1\right)}^{2}}$

$= \sqrt{25 + 1 + 4}$

$= \sqrt{30}$