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Unit vector perpnicular to vector A=-3ha...

Unit vector perpnicular to vector `A=-3hati-2hatj -3hatk and 2hati + 4hatj +6hatk` oth is

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The correct Answer is:
A
(a) Unit vector is given by `hatn=(AxxB)/(|AxxB|)`
`AxxB=|underset(" "2" "4" "6)underset(-3""-2""-3)overset(hati" "hatj" "hatk)""|`
`=hati(-12+12)-hatj(-18+6)+hatk(-12+4)=12hatj-8hatk`
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