Shortest distance between two skew lines

Geometry Level 1

Find the shortest distance between the following two lines g1{g}_{1} and g2:{g}_{2}:

g1:x32=y+12=z2g2:x=y2=z+4. \begin{aligned} {g}_{1} &: \frac{x-3}{2} = \frac{y+1}{-2} = z-2 \\ {g}_{2} &: x = \frac{y}{2} = -z+4. \end{aligned}

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