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géométrie lycée recueilchapitre 4problème 4.4vecteurs

Dot product in a rectangle

Recueil COMIMa — Techniques de résolution de problèmes · 2026 · Madagascar ·

Statement

Si $M$ est un point et $ABCD$ un rectangle, alors \[ \overrightarrow{MA} \cdot \overrightarrow{MC} = \overrightarrow{MB} \cdot \overrightarrow{MD}. \]

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Origin : Recueil COMIMa — Techniques de résolution de problèmes · 2026 · Madagascar

Reproduced for non-commercial educational purposes. Rights to the original statement belong to its authors / the competition organiser.

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