JEE Main 202225 Jul, Evening shiftMathematicsMediumVector Algebra184× since 2002Let a⃗=i^−j^+2k^\vec{a}=\hat{i}-\hat{j}+2 \hat{k}a=i^−j^+2k^ and let b⃗\vec{b}b be a vector such that a⃗×b⃗=2i^−k^\vec{a} \times \vec{b}=2 \hat{i}-\hat{k}a×b=2i^−k^ and a⃗⋅b⃗=3\vec{a} \cdot \vec{b}=3a⋅b=3. Then the projection of b⃗\vec{b}b on the vector a⃗−b⃗\vec{a}-\vec{b}a−b is :AOption A. 221\frac{2}{\sqrt{21}}212BOption B. 2372 \sqrt{\frac{3}{7}}273COption C. 2373\frac{2}{3} \sqrt{\frac{7}{3}}3237DOption D. 23\frac{2}{3}32CheckSkip · show solution
