JEE Main 20248 Apr, Evening shiftMathematicsMediumVector Algebra184× since 2002Let a→=i^+2j^+3k^,b→=2i^+3j^−5k^\overrightarrow{\mathrm{a}}=\hat{i}+2 \hat{j}+3 \hat{k}, \overrightarrow{\mathrm{b}}=2 \hat{i}+3 \hat{j}-5 \hat{k}a=i^+2j^+3k^,b=2i^+3j^−5k^ and c→=3i^−j^+λk^\overrightarrow{\mathrm{c}}=3 \hat{i}-\hat{j}+\lambda \hat{k}c=3i^−j^+λk^ be three vectors. Let r→\overrightarrow{\mathrm{r}}r be a unit vector along b⃗+c⃗\vec{b}+\vec{c}b+c. If r⃗⋅a⃗=3\vec{r} \cdot \vec{a}=3r⋅a=3, then 3λ3 \lambda3λ is equal to:AOption A. 21BOption B. 25COption C. 27DOption D. 30CheckSkip · show solution
