Show that each of the given three vectors is a unit vector. $\frac{1}{7} (2\hat i + 3\hat j + 6\hat k), \frac{1}{7} (3\hat i - 6\hat j + 2\hat k), \frac{1}{7} (6\hat i + 2\hat j - 36\hat k).$Also, show that they are mutually perpendicular to each other.

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