Skew lines/Distance/2/Exercise

Compute the distance between the two skew lines

$G={\left\{{\begin{pmatrix}2\\-1\\4\end{pmatrix}}+t{\begin{pmatrix}5\\3\\-2\end{pmatrix}}\mid t\in \mathbb {R} \right\}}\,\,{\text{ and }}\,\,H={\left\{{\begin{pmatrix}4\\-3\\5\end{pmatrix}}+t{\begin{pmatrix}6\\7\\-4\end{pmatrix}}\mid t\in \mathbb {R} \right\}}.$

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