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