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Question Id : 13241 | Context : JEE Main 2023 (29 January Evening Shift)
If $\vec a=\hat i+2\hat k$, $\vec b=\hat i+\hat j+\hat k$, $\vec c=7\hat i-3\hat j+4\hat k$, $\ \ \vec r\times\vec b+\vec b\times\vec c=\vec 0$ and $\vec r\cdot\vec a=0$. Then $\ \vec r\cdot\vec c$ is equal to:


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