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Previous Year Question (PYQs)
3
Let $\vec a=\hat i+2\hat j+\hat k$, $\quad \vec b=3(\hat i-\hat j+\hat k)$.
Let $\vec c$ be the vector such that $\vec a\times\vec c=\vec b$ and $\vec a\cdot\vec c=3$.
Then $\vec a\cdot\big((\vec c\times\vec b)-\vec b-\vec c\big)$ is equal to:
Solution
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