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If vec(a), vec(b) and vec(c) are three m...

If `vec(a), vec(b)` and `vec(c)` are three mutually perpendicular vectors of equal magnitude, then find the angle between `vec(a)` and `(vec(a) + vec(b) + vec(c))`.

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The correct Answer is:
`cos^(-1)((1)/(sqrt(3)))`
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