Let $\overline{\mathrm{u}}, \overline{\mathrm{v}}, \overline{\mathrm{w}}$ be such that $\left|\overline{\mathrm{u}}\right| = 1,\left|\overline{\mathrm{v}}\right| = 2,\left|\overline{\mathrm{w}}\right| = 3$ if the projection of $\overline{\mathrm{v}}$ along $\overline{\mathrm{u}}$ is equal to that of $\overline{\mathrm{w}}$ along $\overline{\mathrm{u}}$ and $\overline{\mathrm{v}}, \overline{\mathrm{w}}$ are perpendicular to each other, then $|\overline{\mathrm{u}}-\overline{\mathrm{v}}+\overline{\mathrm{w}}| =$