Find the shortest distance between the set of parallel lines.\(\vec{r}=(\hat{i}+2\hat{j}-\hat{k})+λ(\hat{i}+\hat{j}+\hat{k})\) \(\vec{r}=(3\hat{i}-\hat{j}+3\hat{k})+μ(\hat{i}+\hat{j}+\hat{k})\)

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Find the shortest distance between the set of parallel lines.<br />\(\vec{r}=(\hat{i}+2\hat{j}-\hat{k})+λ(\hat{i}+\hat{j}+\hat{k})\) <br />\(\vec{r}=(3\hat{i}-\hat{j}+3\hat{k})+μ(\hat{i}+\hat{j}+\hat{k})\)