Find the shortest distance between the given lines.

Question:

Find the shortest distance between the given lines.

$\overrightarrow{\mathrm{r}}=(3-\mathrm{t}) \hat{\mathrm{i}}+(4+2 \mathrm{t}) \hat{\mathrm{j}}+(\mathrm{t}-2) \hat{\mathrm{k}}$

$\overrightarrow{\mathrm{r}}=(1+s) \hat{\mathrm{i}}+(3 \mathrm{~s}-7) \hat{\mathrm{j}}+(2 \mathrm{~s}-2) \hat{\mathrm{k}}$

Solution:

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