JEE Main 202623 Jan, Evening shiftMathematicsMediumVector Algebra184× since 2002Let a⃗=i^−2j^+3k^\vec a=\hat i-2\hat j+3\hat ka=i^−2j^+3k^, b⃗=2i^+j^−k^\vec b=2\hat i+\hat j-\hat kb=2i^+j^−k^, c⃗=λi^+j^+k^\vec c=\lambda\hat i+\hat j+\hat kc=λi^+j^+k^ and v⃗=a⃗×b⃗\vec v=\vec a\times\vec bv=a×b. If v⃗⋅c⃗=11\vec v\cdot\vec c=11v⋅c=11 and the length of the projection of b⃗\vec bb on c⃗\vec cc is ppp, then 9p29p^29p2 is equal toAOption A. 6BOption B. 12COption C. 4DOption D. 9CheckSkip · show solution
