Find the shortest distance between the given lines.

Question:

Find the shortest distance between the given lines.

$\overrightarrow{\mathrm{r}}=(\lambda-1) \hat{\mathrm{i}}+(\lambda+1) \hat{\mathrm{j}}-(\lambda+1) \hat{\mathrm{k}}$

$\overrightarrow{\mathrm{r}}=(1-\mu) \hat{\mathrm{i}}+(2 \mu-1) \hat{\mathrm{j}}+(\mu+2) \hat{\mathrm{k}}$

Solution:

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