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If I is the incentre of a !ABC , then IA...

If I is the incentre of a `!ABC` , then `IA:IB:IC` is equal to

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Assertion: If I is the incentre of /_\ABC, then |vec(BC)| vec(IA) +|vec(CA)| vec(IB) +|vec(AB)| vec(IC) =0 Reason: If O is the origin, then the position vector of centroid of /_\ABC is (vec(OA)+vec(OB)+vec(OC))/3