JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumVector Algebra184× since 2002Let a⃗=3i^−j^+2k^\vec{a} = 3 \hat{i} - \hat{j} + 2 \hat{k}a=3i^−j^+2k^, b⃗=a⃗×(i^−2k^)\vec{b} = \vec{a} \times (\hat{i} - 2 \hat{k})b=a×(i^−2k^), and c⃗=b⃗×k^\vec{c} = \vec{b} \times \hat{k}c=b×k^. Then the projection of c⃗−2j^\vec{c} - 2 \hat{j}c−2j^ on a⃗\vec{a}a is:AOption A. 2142 \sqrt{14}214BOption B. 14\sqrt{14}14COption C. 373 \sqrt{7}37DOption D. 272 \sqrt{7}27CheckSkip · show solution
