If \(\rm\vec{a},\vec{b}\) and \(\rm\vec{c}\) are three non-coplanar vectors, then the value of \(\rm \frac{\vec{a}.(\vec{b}\times\vec{c})}{\vec{b}.(\vec{c}\times\vec{a})}+\rm \frac{\vec{b}.(\vec{c}\times\vec{a})}{\vec{c}.(\vec{a}\times\vec{b})}+\rm \frac{\vec{c}.(\vec{b}\times\vec{a})}{\vec{a}.(\vec{b}\times\vec{c})}\) is:
1
-3
2
-2
3
1
4
-1