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Let hat u= u1 hat i+u2 hat j+u3 hat k ...

Let `hat u= u_1 hat i+u_2 hat j+u_3 hat k` be a unit vector in be a unit vector in `RR^3 and hat w=1/sqrt6 (hat i+hat j+2 hat k)`.Given that there exists vector `hat v` in `RR^3` such that `|hat u xx vec v|=1 and hat w . (hat u xx vec v)=1`. Which of the following statement(s) is(are) correct?

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