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Show that each of the given three vector...

Show that each of the given three vectors is a unit vector :`1/7(2overset^^i+3overset^^j+6overset^^k),1/7(3overset^^i-6overset^^j+2overset^^k),1/7(6overset^^i+2overset^^j-3overset^^k)`.
Also, show that the are mutually perpendicular to each other.

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