JEE MAIN - Mathematics Hindi (2025 - 24th January Evening Shift - No. 13)

मान लें $\overrightarrow{\mathrm{a}}=3 \hat{i}-\hat{j}+2 \hat{k}, \overrightarrow{\mathrm{~b}}=\overrightarrow{\mathrm{a}} \times(\hat{i}-2 \hat{k})$ और $\overrightarrow{\mathrm{c}}=\overrightarrow{\mathrm{b}} \times \hat{k}$ । तब $\overrightarrow{\mathrm{c}}-2 \hat{j}$ का $\vec{a}$ पर प्रक्षेपण है :
$2 \sqrt{7}$
$3 \sqrt{7}$
$\sqrt{14}$
$2 \sqrt{14}$

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