Vector Algebra

\(\overline{\mathrm{u}}, \overline{\mathrm{v}}, \overline{\mathrm{w}}\) are three vectors such that \(|\overline{\mathrm{u}}|=1, |\bar{v}|=2,|\bar{w}|=3\). If the projection of \(\bar{v}\) along \(\bar{u}\) is equal to projection of \(\bar{w}\) along \(\bar{u}\) and \(\bar{v}, \bar{w}\) are perpendicular to each other, then \(|\bar{u}-\bar{v}+\bar{w}|=\)