Let \(\vec{a}=2 \hat{i}-3 \hat{j}+4 \hat{k}\) and \(\vec{b}=7 \hat{i}+\hat{j}-6 \hat{k}\). If \(\vec{r} \times \vec{a}=\…

Let \(\vec{a}=2 \hat{i}-3 \hat{j}+4 \hat{k}\) and \(\vec{b}=7 \hat{i}+\hat{j}-6 \hat{k}\). If \(\vec{r} \times \vec{a}=\vec{r} \times \vec{b}, \vec{r} \cdot(\hat{i}+2 \hat{j}+\hat{k})=-3\), then \(\vec{r} \cdot(2 \hat{i}-3 \hat{j}+\hat{k})\) is equal to: