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CBSE 2023 · Region 3 · Set 3 · Q1 · 1 mark

If the angle between the vectors $\displaystyle \overrightarrow{\mathrm{a}}$ and $\displaystyle \overrightarrow{\mathrm{b}}$ is $\displaystyle \frac{\pi}{4}$ and $\displaystyle |\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}|=1$, then $\displaystyle \overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{b}}$ is equal to

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