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if ` vec Ao`+ ` vec O B`= ` vec B O`+ ` vec O C`,than prove that B is themidpoint of AC.

Answer» `vec(AO)+vec(OB)=vec(BO)+vec(OC)`
`rArr" "vec(AB)=vec(BC)`
Thus, vectors `vec(AB)and vec(BC)` are collinear
`rArr" "` Points A, B, C are collinear
Also `" "|vec(AB)|=|vec(BC)|`
`rArr" "B` is the midpoint of `AC`


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