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Mathematics · 2024

JEE Main · 27 January 2024, Shift 1 · Q28

The least positive integral value of α, for which the angle between the vectors α i -2 j +2 k and α i +2 α j -2 k is acute, is ____.

The least positive integral value of $\displaystyle \alpha$, for which the angle between the vectors $\displaystyle \alpha \hat{i}-2 \hat{j}+2 \hat{k}$ and $\displaystyle \alpha \hat{i}+2 \alpha \hat{j}-2 \hat{k}$ is acute, is $\displaystyle \_\_\_\_$.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.