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Mathematics · 2023

JEE Main · 25 January 2023, Shift 1 · Q76

The vector a =- i +2 j + k is rotated through a right angle, passing through the y -axis in its way and the resulting vector is b. Then the…

The vector $\displaystyle \vec{a}=-\hat{i}+2 \hat{j}+\hat{k}$ is rotated through a right angle, passing through the y -axis in its way and the resulting vector is $\displaystyle \vec{b}$. Then the projection of $\displaystyle 3 \vec{a}+\sqrt{2} \vec{b}$ on $\displaystyle \vec{c}=5 \hat{i}+4 \hat{j}+3 \hat{k}$ is :
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.