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Mathematics · 2023

JEE Main · 31 January 2023, Shift 1 · Q87

Let a and b be two vectors such that | a |=√ 14,| b |=√ 6 and | a × b |=√ 48. Then ( a · b )^2 is equal to ____.

Let $\displaystyle \vec{a}$ and $\displaystyle \vec{b}$ be two vectors such that $\displaystyle |\vec{a}|=\sqrt{14},|\vec{b}|=\sqrt{6}$ and $\displaystyle |\vec{a} \times \vec{b}|=\sqrt{48}$. Then $\displaystyle (\vec{a} \cdot \vec{b})^2$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.