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In a parallelogram OABC, vectors vec a, ...

In a parallelogram `OABC,` vectors `vec a, vec b, vec c` are respectively the positions of vectors of vertices `A, B, C` with reference to O as origin. A point E is taken on the side BC which divide the line `2:1` internally. Also the line segment AE intersect the line bisecting the angle O internally in point P. If CP, when extended meets AB in point F. Then The position vector of point P, is

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In a parallelogram OABC, vectors veca, vecb, vecc are, respectively, tehe position vectors of vertices A, B, C with reference to O as origin. A point E is taken on the side BC which divides it in the ratio 2 : 1 . Also, the line segment AE intersects the line bisecting the angle angle AOC internally at point P. If CP when extended meets AB in point F, then The position vector of point P is

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