If \(\vec{a}, \vec{b}, \vec{c}\) are three vectors such that \(\vec{a}+ \vec{b}+\vec{c}=0\) and \(|\vec{a}|=2, |\vec{b}|=3, |\vec{c}|=5\) then the value of \(\vec{a} \ \bullet \ \vec{b} + \vec{b} \ \bullet \ \vec{c} + \vec{c} \ \bullet \ \vec{a}\) is:
1
0
2
1
3
-19
4
38
5
Not Attempted