JEE Main 20268 Apr, Evening shiftMathematicsMediumVector Algebra184× since 2002Let a⃗=4i^−j^+3k^\vec a=4\hat i-\hat j+3\hat ka=4i^−j^+3k^, b⃗=10i^+2j^−k^\vec b=10\hat i+2\hat j-\hat kb=10i^+2j^−k^ and a vector c⃗\vec cc be such that 2(a⃗×b⃗)+3(b⃗×c⃗)=0⃗2(\vec a\times\vec b)+3(\vec b\times\vec c)=\vec 02(a×b)+3(b×c)=0. If a⃗⋅c⃗=15\vec a\cdot\vec c=15a⋅c=15, then c⃗⋅(i^+j^−3k^)\vec c\cdot(\hat i+\hat j-3\hat k)c⋅(i^+j^−3k^) is equal to :AOption A. -6BOption B. -5COption C. -4DOption D. -3CheckSkip · show solution
