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

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