JEE Main 20238 Apr, Morning shiftMathematicsMediumVector Algebra184× since 2002Let a⃗=6i^+9j^+12k^,b⃗=αi^+11j^−2k^\vec{a}=6 \hat{i}+9 \hat{j}+12 \hat{k}, \vec{b}=\alpha \hat{i}+11 \hat{j}-2 \hat{k}a=6i^+9j^+12k^,b=αi^+11j^−2k^ and c⃗\vec{c}c be vectors such that a⃗×c⃗=a⃗×b⃗\vec{a} \times \vec{c}=\vec{a} \times \vec{b}a×c=a×b. If a⃗⋅c⃗=−12,c⃗⋅(i^−2j^+k^)=5\vec{a} \cdot \vec{c}=-12, \vec{c} \cdot(\hat{i}-2 \hat{j}+\hat{k})=5a⋅c=−12,c⋅(i^−2j^+k^)=5, then c⃗⋅(i^+j^+k^)\vec{c} \cdot(\hat{i}+\hat{j}+\hat{k})c⋅(i^+j^+k^) is equal to _______________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
