Mathematics · 2023
JEE Main · 25 January 2023, Shift 2 · Q77
Let a =- i - j + k, a · b =1 and a × b = i - j. Then a -6 b is equal to
Let $\displaystyle \vec{a}=-\hat{i}-\hat{j}+\hat{k}, \vec{a} \cdot \vec{b}=1$ and $\displaystyle \vec{a} \times \vec{b}=\hat{i}-\hat{j}$.
Then $\displaystyle \vec{a}-6 \vec{b}$ is equal to
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 3(\hat{i}+\hat{j}+\hat{k})$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.