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Let \( \overrightarrow{\mathrm{u}}, \overrightarrow{\mathrm{v}} \), \( \overrightarrow{\mathrm{w}} \) be such that \( |\overrightarrow{\mathrm{u}}|=1,|\overrightarrow{\mathrm{v}}|=2,|\overrightarrow{\mathrm{w}}|=3 \). If the projection of \( \overrightarrow{\mathrm{v}} \) along \( \overrightarrow{\mathrm{u}} \) is equal
W. to that of \( \vec{w} \) along \( \vec{u} \) and \( \vec{v} \), \( \vec{w} \) are perpendicular to each other, then \( |\vec{u}-\vec{v}+\vec{w}| \) equals
A 2
B \( \sqrt{7} \)
C \( \sqrt{14} \)
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