Vector Algebra

If \(\vec{a}, \vec{b}, \vec{c}\) are three non-zero vectors, no two of them are collinear, \(\vec{a}+2 \vec{b}\) is collinear with \(\vec{c}, \vec{b}+3 \vec{c}\) is collinear with \(\vec{a}\), then \(\vec{a}+2 \vec{b}\) is