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Let veca =a1hat i+a2 hat j+a3 hat k be a...

Let `veca =a_1hat i+a_2 hat j+a_3 hat k` be a unit vector in `R^3 and vec b=2hat i +3hat j+6hat k`. Given that there exists a vector `vec c` in `R^3` such that `|vec a xx vec c|= 5 and vec b. (vec а xxvec с)=35` . Which of the following statements) is correct?

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