JEE Main 2005Annual, Paper 1MathematicsMediumVector Algebra184× since 2002For any vector a→{\overrightarrow a }a , the value of (a→×i^)2+(a→×j^)2+(a→×k^)2{\left( {\overrightarrow a \times \widehat i} \right)^2} + {\left( {\overrightarrow a \times \widehat j} \right)^2} + {\left( {\overrightarrow a \times \widehat k} \right)^2}(a×i)2+(a×j)2+(a×k)2 is equal to :AOption A. 3a→23{\overrightarrow a ^2}3a2BOption B. a→2{\overrightarrow a ^2}a2COption C. 2a→22{\overrightarrow a ^2}2a2DOption D. 4a→24{\overrightarrow a ^2}4a2CheckSkip · show solution
