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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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