Mathematics Question from JEE Main 2025 · 29 January, Shift 1

Let $\overrightarrow{a} = i + 2j + k$ and $\overrightarrow{b} = 2i + 7j + 3k$. Let $L_1 : \overrightarrow{r} = (-i + 2j + k) + \lambda \overrightarrow{a}, \lambda \in \mathbb{R}$ and $L_2 : \overrightarrow{r} = (j + k) + \mu \overrightarrow{b}, \mu \in \mathbb{R}$ be two lines. If the line $L_3$ passes through the point of intersection of $L_1$ and $L_2$, and is parallel to $\overrightarrow{a} + \overrightarrow{b}$, then $L_3$ passes through the point: