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Find a unit vector perpendicular to each...

Find a unit vector perpendicular to each of vectors `(veca + vecb)` and `( veca - vecb)` where `veca = hati+ hatj + hatk` and `vecb = hati + 2hatj + 3hatk`.

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The correct Answer is:
`= -(1)/(sqrt(6)) hati (2)/(sqrt(6)) hatj- (1)/(sqrt(6)) hatk`
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