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Question Id : 14286 | Context : JEE Main 2024 (1 February Morning Shift)
Let $\vec a=-5\hat i+\hat j-3\hat k$, $\vec b=\hat i+2\hat j-4\hat k$ and $\vec c=\big(((\vec a\times\vec b)\times\hat i)\times\hat i\big)\times\hat i$. Then $\ \vec c\cdot(-\hat i+\hat j+\hat k)$ is equal to:


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