Let $P$ be the plane passing through the intersection of the planes $\overrightarrow{r} \cdot (\hat{i} + 3\hat{j} - \hat{k}) = 5$ and $\overrightarrow{r} \cdot (2\hat{i} - \hat{j} + \hat{k}) = 3$,and the point $(2, 1, -2)$. Let the position vectors of the points $X$ and $Y$ be $\hat{i} - 2\hat{j} + 4\hat{k}$ and $5\hat{i} - \hat{j} + 2\hat{k}$ respectively. Then the points:

• A
  $X$ and $X + Y$ are on the same side of $P$
• B
  $Y$ and $Y - X$ are on the opposite sides of $P$
• C
  $X$ and $Y$ are on the opposite sides of $P$
• D
  $X + Y$ and $X - Y$ are on the same side of $P$