Find the vector equation of the line passing through $(1, 2, 3)$ and perpendicular to the plane $\hat{r} . (\hat{i} +2\hat{j} -5\hat{k}) +9 = 0$

Question

$\begin{array}{1 1} (A) \overrightarrow l = ( \hat i + 2\hat j -5\hat k ) + \lambda ( \hat i + 2\hat j +3\hat k) \\ (B) \overrightarrow l = ( \hat i + 2\hat j + 3\hat k ) + \lambda ( \hat i + 2\hat j +3\hat k) \\ (C) \overrightarrow l = ( \hat i + 2\hat j - 5\hat k ) + \lambda ( \hat i + 2\hat j - 5\hat k) \\ (D) \overrightarrow l = ( \hat i + 2\hat j + 3\hat k ) + \lambda ( \hat i + 2\hat j - 5\hat k)\end{array} $