If the equation of the plane containing the line \( x+2y+3z-4=0=2x+y-z+5 \) and perpendicular to the plane \( \vec{r}=(\hat{i}-\hat{j})+\lambda(\hat{i}+\hat{j}+\hat{k})+\mu(\hat{i}-2\hat{j}+3\hat{k}) \) is \( ax+by+cz=4 \), then \( (a-b+c) \) is equal to:
