Shortest distance problem between skew lines

Geometry Level pending

Let \(d\) denote the shortest distance between the two lines \(l\) and \(m\) such that \[l: 1-x=y-1=z+1, \quad m:\frac{x-1}{2}=y+1=z-1.\] What is the value of \({d}^{2}?\)

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