Chapter 1.1, Problem 84PE

A point in three-dimensional space can be represented in a three-dimensional coordinate system. In such a case, a $z\text{-axis}$ is taken perpendicular to both the $x\text{- and }y\text{-axes}\text{.}$ A point $P$ is assigned an ordered triple $P\left(x,y,z\right)$ relative to a fixed origin where the three axes meet. For Exercises 83-86, determine the distance between the two given points in space. Use the distance formula $d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2+{\left(z_2-z_1\right)}^2}$ .

$\left(6,-4,-1\right)\text{ and }\left(2,3,1\right)$