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The angle between the lines \(\vec{r} = 3\hat{i} - 2\hat{j} + 1\hat{k} + \mu (4\hat{i} + 6\hat{j} + 12\hat{k})\) and \(\vec{r} = 7\hat{i} - 3\hat{j} + 9\hat{k} + \lambda (5\hat{i} + 8\hat{j} - 4\hat{k})\) is:
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