JEE Main 20245 Apr, Morning shiftMathematicsHardVector Algebra184× since 2002Let a→=i^−3j^+7k^,b→=2i^−j^+k^\overrightarrow{\mathrm{a}}=\hat{i}-3 \hat{j}+7 \hat{k}, \overrightarrow{\mathrm{b}}=2 \hat{i}-\hat{j}+\hat{k}a=i^−3j^+7k^,b=2i^−j^+k^ and c→\overrightarrow{\mathrm{c}}c be a vector such that (a→+2b→)×c→=3(c→×a→)(\overrightarrow{\mathrm{a}}+2 \overrightarrow{\mathrm{b}}) \times \overrightarrow{\mathrm{c}}=3(\overrightarrow{\mathrm{c}} \times \overrightarrow{\mathrm{a}})(a+2b)×c=3(c×a). If a⃗⋅c⃗=130\vec{a} \cdot \vec{c}=130a⋅c=130, then b⃗⋅c⃗\vec{b} \cdot \vec{c}b⋅c is equal to __________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
