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Find a unit vector perpendicular to each...

Find a unit vector perpendicular to each of the vectors `veca+vecb` and `veca-vecb` when `veca= 3hati+2hatj+2hatk, vecb=hati+2hatj- 2hatk`

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The correct Answer is:
`+-(2)/(3)hati+-(2)/(3)hatj+-(1)/(3)hatk`
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