JEE Main 2014Session, Shift 1MathematicsHardVector Algebra184× since 2002If [a→×b→ b→×c→ c→×a→]=λ[a→ b→ c→]2\left[ {\overrightarrow a \times \overrightarrow b \,\,\,\,\overrightarrow b \times \overrightarrow c \,\,\,\,\overrightarrow c \times \overrightarrow a } \right] = \lambda {\left[ {\overrightarrow a\,\,\,\,\,\,\,\, \overrightarrow b \,\,\,\,\,\,\,\,\overrightarrow c } \right]^2}[a×bb×cc×a]=λ[abc]2 then λ\lambdaλ is equal to :AOption A. 000BOption B. 111COption C. 222DOption D. 333CheckSkip · show solution
