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Show that the vectors 1/7(2i + 3j + 6k), 1/7(3i - 6j + 2k) and 1/7(6i + 2j - 3k) are mutually perpendicular unit vectors.

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Show that the vectors 1/7(2i + 3j + 6k), 1/7(3i - 6j + 2k) and 1/7(6i + 2j - 3k) are mutually perpendicular unit vectors.

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Consider 

Similarly

Here LHS = RHS

Therefore, it is proved that the vectors are mutually perpendicular unit vectors.

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