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Questions  >>  CBSE XII  >>  Math  >>  Vector Algebra
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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

$\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} $

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