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### Question Asked by a Student from EXXAMM.com Team

** Q 2211012820. ** Let `vec(A) , vec(B)` and `vec(C)` be unit vectors. Suppose that

`vec(A) * vec(B) = vec(A) * vec(C)= 0` and that the angle between `vec(B)` and `vec(C)` is `pi/6`,

then `vec(A) = k ( vec(B) xx vec(C) )1 and `k` is equal to