JEE Main 20241 Feb, Morning shiftMathematicsMediumVector Algebra184× since 2002Let a→=−5i^+j^−3k^,b→=i^+2j^−4k^\overrightarrow{\mathrm{a}}=-5 \hat{i}+\hat{j}-3 \hat{k}, \overrightarrow{\mathrm{b}}=\hat{i}+2 \hat{j}-4 \hat{k}a=−5i^+j^−3k^,b=i^+2j^−4k^ and c→=(((a→×b→)×i^)×i^)×i^\overrightarrow{\mathrm{c}}=(((\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}) \times \hat{i}) \times \hat{i}) \times \hat{i}c=(((a×b)×i^)×i^)×i^. Then c⃗⋅(−i^+j^+k^)\vec{c} \cdot(-\hat{i}+\hat{j}+\hat{k})c⋅(−i^+j^+k^) is equal to :AOption A. -12BOption B. -10COption C. -13DOption D. -15CheckSkip · show solution
