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CBSE 2023 · Region 5 · Set 3 · Q13 · 1 mark

If $\displaystyle \overrightarrow{\mathrm{a}} \cdot \hat{\mathrm{i}}=\overrightarrow{\mathrm{a}} \cdot(\hat{\mathrm{i}}+\hat{\mathrm{j}})=\overrightarrow{\mathrm{a}} \cdot(\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}})=1$, then $\displaystyle \overrightarrow{\mathrm{a}}$ is

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