In the \( \triangle A B C \) a point \( P \) is taken on the side \...

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In the \( \triangle A B C \) a point \( P \) is taken on the side \( A B \) such that \( A P: B P=1: 2 \) and a point \( Q \) is taken on the side \( B C \) such
P
W that \( C Q: B Q=2: 1 \). If \( R \) be the point of intersection of lines \( A Q \) and \( C P \), using vector find the area of \( \triangle A B C \), if it is known that area of \( \triangle A B C \) is one unit.
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