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Let the unit vectors vec a, vec b, vec c...

Let the unit vectors `vec a, vec b, vec c ` be the position vectors of the vertices of a `DeltaABC`. If F is the position vector of the mid point of line segment joining its orthocenter and centroid, then`(vec a - vec F)^2+ (vec b - vec F)^2 +(vec a - vec F)^2`

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