JEE Main 202621 Jan, Morning shiftMathematicsEasyVector Algebra184× since 2002Let a⃗=−i^+2j^+2k^\vec a=-\hat i+2\hat j+2\hat ka=−i^+2j^+2k^, b⃗=8i^+7j^−3k^\vec b=8\hat i+7\hat j-3\hat kb=8i^+7j^−3k^ and c⃗\vec cc be a vector such that a⃗×c⃗=b⃗\vec a\times\vec c=\vec ba×c=b. If c⃗⋅(i^+j^+k^)=4\vec c\cdot(\hat i+\hat j+\hat k)=4c⋅(i^+j^+k^)=4, then ∣a⃗+c⃗∣2|\vec a+\vec c|^2∣a+c∣2 is equal to :AOption A. 27BOption B. 30COption C. 35DOption D. 33CheckSkip · show solution