If \( \vec{u} = \hat{i} + \hat{j}, \vec{v} = \hat{i} - \hat{j}, \vec{w} = \hat{i} + 2\hat{j} + 3\hat{k} \) and \( \hat{n} \) is a unit vector such that \( \vec{u} \cdot \hat{n} = 0 \) and \( \vec{v} \cdot \hat{n} = 0 \), then \( |\vec{w} \cdot \hat{n}| \) is
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If $\vecu=\hati+\hatj, \vecv=\hati-\hatj, \vecw=\hati+2\hatj+3\hatk$ and $\hatn$ is a unit vector such that $\vecu·\hatn=0$ and $\vecv·\hatn=0$, then $|\vecw·\hatn|$ is