Question

Find the equation of plane passing through the point $(3,2,4)$ and perpendicular to the $X-$axis.

Answer 1

$\begin{array}{c}\overrightarrow{a}=\left(3\hat{i}+2\hat{j}+4\hat{k}\right)\\ \overrightarrow{n}=\hat{i}\\ Equationofplane.\\ \left(\overrightarrow{r}-\overrightarrow{a}\right).\overrightarrow{n}=0\\ \left(\overrightarrow{r}-\left(3\hat{i}+2\hat{j}+4\hat{k}\right)\right).\overrightarrow{i}=0\end{array}$