Vectors Questions (152)

If $\vec{a}=\hat{i}+2\hat{j}+3\hat{k}$, $\vec{b}=2\hat{i}+7\hat{j}+2\hat{k}$, $\vec{x}\cdot\vec{a}=0$ and $\vec{x}\cdot\vec{c}=0$ for some non-zero vector $\vec{x}$, then value of $\vec{a}\cdot(\vec{b}\times\vec{c})$ is

The scalar triple product $[\vec{a}+\vec{b}-\vec{c}\quad\vec{b}+\vec{c}-\vec{a}\quad\vec{c}+\vec{a}-\vec{b}]$ is equal to