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Let the vectors vec a and vec b be such...

Let the vectors ` vec a and vec b` be such that `| vec a|=3 and | vec b|=(sqrt(2))/3, then ,vec axx vec b` is a unit vector, if the angel between ` vec a and vec b` is?

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It is given that `|veca|=3and |vecb|=sqrt2/3`
we know that `vecaxxvecb= |veca|vecb|sin theta hatn "where" hatn` is a unit vector peroendicular to both `veca and vecb and theta` is the angle between `veca and vecb`.
`now veca xx vecb` is a unit vector if `|vecaxxvecb|=1`
` or , ||veca||vecb|sin theta|=1`.
`or , ||veca||vecb| sin theta|=1`
`or 3xxsqrt2/3xxsintheta=1`
`or theta=pi/4`
Hence , `veca xx vecb` is a unit vector if the angle between `veca and vecb is pi/4`.
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