Question

Find the equation of plane passing through the point $(2-1,3)$ and perpendicular to the $X-$axis.

Answer 1

$\begin{array}{c}\overrightarrow{a}=2\hat{i}-\hat{j}+3\hat{k}\\ \overrightarrow{n}=\hat{i}\\ Equationofplane.\\ \left(\overrightarrow{r}-\overrightarrow{a}\right).\overrightarrow{n}=0\\ \left(\overrightarrow{r}-\left(2\hat{i}-\hat{j}+3\hat{k}\right)\right).\overrightarrow{i}=0\\ x-2=0\end{array}$