Find the shortest distance between the following pairs of lines whose vector equation are $\overrightarrow r = 3\hat i + 8\hat j + 3\hat k + \lambda(3\hat i - \hat j + \hat k)\: and \: \overrightarrow r = -3\hat i - 7\hat j + 6\hat k + \mu(-3\hat i + 2\hat j + 4\hat k)$

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