Let \(x_0\) be the point of local maxima of \(f(x)=\vec{a} \cdot(\vec{b} \times \vec{c})\), where \(\vec{a}=x \hat{i}-2 …

Let \(x_0\) be the point of local maxima of \(f(x)=\vec{a} \cdot(\vec{b} \times \vec{c})\), where \(\vec{a}=x \hat{i}-2 \hat{j}+3 \hat{k}, \vec{b}=-2 \hat{i}+x \hat{j}-\hat{k}, \vec{c}=7 \hat{i}-2 \hat{j}+x \hat{k} \). Then the value of \(\vec{a} \cdot \vec{b}+\vec{b} \cdot \vec{c}+\vec{c} \cdot \vec{a}\) at \(x=x_0\) is

[JEE Main 2020, 4 Sep (Shift 1)]