The shortest distance, between lines L_1 and L_2, where L_1: (x-1)/2=(y+1)/-3=(z+4)/2 and L_2 is the line, passing through the points A (-4,4,3), B…

The shortest distance, between lines $\displaystyle L_1$ and $\displaystyle L_2$, where $\displaystyle L_1: \frac{x-1}{2}=\frac{y+1}{-3}=\frac{z+4}{2}$ and $\displaystyle L_2$ is the line, passing through the points $\displaystyle \mathrm{A}(-4,4,3), \mathrm{B}(-1,6,3)$ and perpendicular to the line $\displaystyle \frac{x-3}{-2}=\frac{y}{3}=\frac{z-1}{1}$, is