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Let vec(OA)=vec(a),vec(OB)=10vec(a)+2vec...

Let `vec(OA)=vec(a),vec(OB)=10vec(a)+2vec(b)` and `vec(OC)=vec(b)` where O is origin. Let P denotes the area of the quadrilateral OABC and q denote the area of the parallelogram with OA and OC as adjacent side. Prove that P = 6q.

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