The vector of length 3sqrt(6) which is a...

The vector of length `3sqrt(6)` which is along the internal bisector of the angle between the vector `(7hat i-4hat j-4hat k)` and `(-2hat i-hat j+2hat k)` is `(alphahat i+betahat j+gammahat k)` then the value of `sqrt(alpha^(2)+beta^(2)+gamma^(2))` is

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