Answer
a) $\mathcal{L}$ is contained in $\mathcal{P}$.
Work Step by Step
Since $ n\cdot v=0$, then the $ n $ and $ v $ is orthogonal and hence the line $\mathcal{L}$ must be parallel to the plane $\mathcal{P}$ or be contained in $\mathcal{P}$. Thus, the right answer is: (a) $\mathcal{L}$ is contained in $\mathcal{P}$.
