JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumVector Algebra184× since 2002Let a⃗=2i^−3j^+k^\vec{a} = 2\hat{i} - 3\hat{j} + \hat{k}a=2i^−3j^+k^, b⃗=3i^+2j^+5k^\vec{b} = 3\hat{i} + 2\hat{j} + 5\hat{k}b=3i^+2j^+5k^ and a vector c⃗\vec{c}c be such that (a⃗−c⃗)×b⃗=−18i^−3j^+12k^(\vec{a} - \vec{c}) \times \vec{b} = -18\hat{i} - 3\hat{j} + 12\hat{k}(a−c)×b=−18i^−3j^+12k^ and a⃗⋅c⃗=3\vec{a} \cdot \vec{c} = 3a⋅c=3. If b⃗×c⃗=d⃗\vec{b} \times \vec{c} = \vec{d}b×c=d, then ∣a⃗⋅d⃗∣|\vec{a} \cdot \vec{d}|∣a⋅d∣ is equal to:AOption A. 18BOption B. 12COption C. 9DOption D. 15CheckSkip · show solution
