Three lines
$$\begin{array}{ll}
L_1: & \vec{r} = \lambda\hat{i}, \lambda \in \mathbb{R}, \\
L_2: & \vec{r} = \hat{k} + \mu\hat{j}, \mu \in \mathbb{R} \text{ and} \\
L_3: & \vec{r} = \hat{i} + \hat{j} + v\hat{k}, v \in \mathbb{R}
\end{array}$$
are given. For which point(s) $Q$ on $L_2$ can we find a point $P$ on $L_1$ and a point $R$ on $L_3$ so that $P$, $Q$ and $R$ are collinear?
(A) $\hat{k} - \frac{1}{2}\hat{j}$
(B) $\hat{k}$
(C) $\hat{k} + \frac{1}{2}\hat{j}$
(D) $\hat{k} + \hat{j}$