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If vector(a, b and c) are three mutually perpendicular vectors of equal magnitude, prove that vector(a + b + c)

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If vector(a, b and c) are three mutually perpendicular vectors of equal magnitude, prove that vector(a + b + c) is equally inclined with vector(a, b and c).

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Given:

Hence, vector(a + b + c) is equally inclined to vector(a, b and c).

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