JEE Main 202224 Jun, Morning shiftMathematicsMediumVector Algebra184× since 2002Let a^\widehat aa, b^\widehat bb be unit vectors. If c→\overrightarrow cc be a vector such that the angle between a^\widehat aa and c→\overrightarrow cc is π12{\pi \over {12}}12π, and b^=c→+2(c→×a^)\widehat b = \overrightarrow c + 2\left( {\overrightarrow c \times \widehat a} \right)b=c+2(c×a), then ∣6c→∣2{\left| {6\overrightarrow c } \right|^2}6c2 is equal to :AOption A. 6(3−3)6\left( {3 - \sqrt 3 } \right)6(3−3)BOption B. 3+33 + \sqrt 33+3COption C. 6(3+3)6\left( {3 + \sqrt 3 } \right)6(3+3)DOption D. 6(3+1)6\left( {\sqrt 3 + 1} \right)6(3+1)CheckSkip · show solution
