Let the vectors \(\vec{a},\vec{b},\vec{c}\) represent three coterminous edges of a parallelopiped of volume V. Then the volume of the parallelopiped, whose coterminous edges are represented by \(\vec{a},\vec{b}+\vec{c}\) and \(\vec{a}+2\vec{b}+3\vec{c}\) is equal to
(1) 3V
(2) 6V
(3) V
(4) 2V