# What is the distance between  (3, 2, 1)  and (–1, 4, –2) ?

Dec 7, 2015

$\sqrt{29}$
The distance between 2 points $\left(x 1 , y 1 , z 1\right) \mathmr{and} \left(x 2 , y 2 , z 2\right)$=$\sqrt{{\left(x 2 - x 1\right)}^{2} + {\left(y 2 - y 1\right)}^{2} + {\left(z 2 - z 1\right)}^{2}}$
So, the distance between $\left(3 , 2 , 1\right) \mathmr{and} \left(- 1 , 4 , - 2\right)$=$\sqrt{{\left(- 1 - 3\right)}^{2} + {\left(4 - 2\right)}^{2} + {\left(- 2 - 1\right)}^{2}}$
=$\sqrt{29}$