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Let vector a, b  and c  be three unit vectors such that vetor |a + b + c| = 3 and vector (a x b).(b x c) + (b x c).(c x a) + (c  x a).(a x b) . Which of the following are CORRECT ?

(A) The maximum value of λ is 0

(B) If λ is maximum then the volume of parallelepiped determined by vector a, b  and c is 3

(C) If λ is maximum then the value of vector |(2a + 3b + 4c) .(a x b x 5b x c + 6c x a) is 32.|

(D) None of these

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Correct option  (A)(C)


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