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Find the shortest distance between the lines whose vector equations are :$\overrightarrow{r}=(4\hat{i}-\hat{j}+2\hat{k})+\lambda(\hat{i}+2\hat{j}-3\hat{k})$ and $\overrightarrow{r}=(2\hat{i}+\hat{j}-\hat{k})+\mu(3\hat{i}+2\hat{j}-4\hat{k})$.

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