Find the position vector of a point $R$ which divides the line joining two points $P$ and $Q$ whose position vectors are $\hat i + 2\hat j − \hat k$ and $– \hat i + \hat j + \hat k$ respectively, in the ratio $2 : 1$ internally

Question

$\begin{array}{1 1}(A) \large\frac{\hat i + 4\hat j - \hat k}{3} \\(B) \large\frac{-\hat i + 4\hat j + \hat k}{2} \\ (C) \large\frac{-\hat i + 4\hat j + \hat k}{3} \\ (D) \large\frac{\hat i - 4\hat j - \hat k}{3} \end{array}$