Let a = i − 2j + 3k, b = i + j..... | JEE Main 2022 | Vector

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JEE MAIN 2022

29-06-2022 S2

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Let $\vec{a}=\hat{i}-2 \hat{j}+3 \hat{k}, \vec{b}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{c}$ be a vector such that $\vec{a}+(\vec{b} \times \vec{c})=\overrightarrow{0}$ and $\vec{b} \cdot \vec{c}=5$. Then, the value of $3(\vec{c} \cdot \vec{a})$ is equal to $\_\_\_\_$。

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