If \( \overrightarrow{\mathrm{a}}=\hat{\mathrm{j}}-\hat{\mathrm{k}}...

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If \( \overrightarrow{\mathrm{a}}=\hat{\mathrm{j}}-\hat{\mathrm{k}} \) and \( \overrightarrow{\mathrm{c}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}} \) are given vectors, and
\( \mathrm{P} \)
W \( \vec{b} \) is such that \( \vec{a} \cdot \vec{b}=3 \) and \( \vec{a} \times \vec{b}+\vec{c}=0 \) then \( |\vec{b}|^{2} \) is equal to
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