Let the vectors \( \vec{a}, \vec{b}, \vec{c} \) represent three coterminous edges of a parallelepiped of volume \( V \). Then the volume of the parallelepiped, whose coterminous edges are represented by \( \vec{a}, \vec{b}, \vec{c} \) and \( \vec{a} + 2\vec{b} + 3\vec{c} \) is equal to: