**Answer:**

Given equation of line,

Comparing with the line ,

Comparing with

Since the line is paralle! to the plane

$\begin{array}{l}\Rightarrow \overrightarrow{b}\xb7\overrightarrow{n}=0\\ \Rightarrow (2\hat{i}\u2013m\hat{j}\u20133\hat{k})\xb7(m\hat{i}+3\hat{j}+\hat{k})=0\\ \Rightarrow 2m\u20133m\u20133=0\\ \Rightarrow \u2013m\u20133=0\\ \Rightarrow m=\u20133\end{array}$\begin{array}{l}

\Rightarrow \vec{b} \cdot \vec{n}=0 \\

\Rightarrow(2 \hat{i}-m \hat{j}-3 \hat{k}) \cdot(m \hat{i}+3 \hat{j}+\hat{k})=0 \\

\Rightarrow 2 m-3 m-3=0 \\

\Rightarrow-m-3=0 \\

\Rightarrow m=-3

\end{array}