JEE Main 2005Annual, Paper 1MathematicsHardVector Algebra184× since 2002If a→,b→,c→\overrightarrow a ,\overrightarrow b ,\overrightarrow ca,b,c are non coplanar vectors and λ\lambdaλ is a real number then [λ(a→+b→) λ2b→ λc→]=[a→ b→+c→ b→]\left[ {\lambda \left( {\overrightarrow a + \overrightarrow b } \right)\,\,\,\,\,\,\,\,{\lambda ^2}\overrightarrow b \,\,\,\,\,\,\,\,\lambda \overrightarrow c } \right] = \left[ {\overrightarrow a \,\,\,\,\,\,\,\,\overrightarrow b + \overrightarrow c \,\,\,\,\,\,\,\,\overrightarrow b } \right][λ(a+b)λ2bλc]=[ab+cb] for :AOption A. exactly one value of λ\lambdaλBOption B. no value of λ\lambdaλCOption C. exactly three values of λ\lambdaλDOption D. exactly two values of λ\lambdaλCheckSkip · show solution
