Vector Algebra

If the volume of the parallelopiped whose conterminus edges are along the vectors \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) is 12, then the volume of the tetrahedron whose conterminus edges are \(\mathbf{a}+\mathbf{b}, \mathbf{b}+\mathbf{c}\) and \(c+a\) is