The vector equation of the plane passing through the intersection of the planes
\(\vec{r} \cdot(\hat{i}+\hat{j}+\hat{k})=1\)
and
\(\vec{r} \cdot(\hat{i}-2 \hat{j})=-2\)
and the point (1, 0, 2) is:
1
\(\vec{r} \cdot(\hat{i}-7 \hat{j}+3 \hat{k})=\frac{7}{3}\)
2
\(\vec{r} \cdot(\hat{i}+7 \hat{j}+3 \hat{k})=7\)
3
\(\vec{r} \cdot(3 \hat{i}+7 \hat{j}+3 \hat{k})=7\)
4
\(\vec{r} \cdot(\hat{i}+7 \hat{j}+3 \hat{k})=\frac{7}{3}\)