JEE Main 20244 Apr, Evening shiftMathematicsMediumVector Algebra184× since 2002Let a⃗=i^+j^+k^,b⃗=2i^+4j^−5k^\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=2 \hat{i}+4 \hat{j}-5 \hat{k}a=i^+j^+k^,b=2i^+4j^−5k^ and c⃗=xi^+2j^+3k^,x∈R\vec{c}=x \hat{i}+2 \hat{j}+3 \hat{k}, x \in \mathbb{R}c=xi^+2j^+3k^,x∈R. If d⃗\vec{d}d is the unit vector in the direction of b⃗+c⃗\vec{b}+\vec{c}b+c such that a⃗⋅d⃗=1\vec{a} \cdot \vec{d}=1a⋅d=1, then (a⃗×b⃗)⋅c⃗(\vec{a} \times \vec{b}) \cdot \vec{c}(a×b)⋅c is equal toAOption A. 3BOption B. 9COption C. 11DOption D. 6CheckSkip · show solution
