The equation of the plane passing through the point \(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}\) and perpendicular to the line of intersection of the planes \(\mathbf{r} \cdot(3 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}})=1\) and \(\mathbf{r} \cdot(\hat{\mathbf{i}}+4 \hat{\mathbf{j}}-2 \hat{\mathbf{k}})=2\), is

1. A \(\mathbf{r} \cdot(-2 \hat{\mathbf{i}}-5 \hat{\mathbf{j}}+\hat{\mathbf{k}})=0\)
2. B \(\mathbf{r} \cdot(\hat{\mathbf{i}}+7 \hat{\mathbf{j}}+4 \hat{\mathbf{k}})=0\)
3. C \(\mathbf{r} \cdot(2 \hat{\mathbf{i}}-7 \hat{\mathbf{j}}-13 \hat{\mathbf{k}})=1\)
4. D \(\mathbf{r} \cdot(-2 \hat{\mathbf{i}}+7 \hat{\mathbf{j}}+13 \hat{\mathbf{k}})=0\)