JEE Main 2016Session, Shift 1MathematicsMediumVector Algebra184× since 2002Let a→,b→\overrightarrow a ,\overrightarrow ba,b and c→\overrightarrow cc be three unit vectors such that a→×(b→×c→)=32(b→+c→).\overrightarrow a \times \left( {\overrightarrow b \times \overrightarrow c } \right) = {{\sqrt 3 } \over 2}\left( {\overrightarrow b + \overrightarrow c } \right).a×(b×c)=23(b+c). If b→{\overrightarrow b }b is not parallel to c→,{\overrightarrow c },c, then the angle between a→{\overrightarrow a }a and b→{\overrightarrow b }b is:AOption A. 2π3{{2\pi } \over 3}32πBOption B. 5π6{{5\pi } \over 6}65πCOption C. 3π4{{3\pi } \over 4}43πDOption D. π2{{\pi } \over 2}2πCheckSkip · show solution
