Distance from point to line

Line: $$ \frac{x - x_1}{a} = \frac{y - y_1}{b} = \frac{z - z_1}{c} $$, Point: $$P(x_0, y_0, z_0)$$

$$ d = \frac{ \sqrt{ \left| \begin{matrix} y_0 - y_1 & z_0 - z_1 \\ b & c \end{matrix} \right|^2 + \left| \begin{matrix} z_0 - z_1 & x_0 - x_1 \\ c & a \end{matrix} \right|^2 + \left| \begin{matrix} x_0 - x_1 & y_0 - y_1 \\ a & b \end{matrix} \right|^2 } }{ \sqrt{a^2 + b^2 + c^2} } $$