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 \[ \overrightarrow{MA} \cdot \overrightarrow{MC} = \overrightarrow{MB} \cdot \overrightarrow{MD}. \]
Preview rendered with KaTeX — the compiled PDF is the reference layout.
Source & credits
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.
Downloads
PDFs are produced by the GitHub Actions pipeline: they may be missing in local development.
+ Add to problem set Was this exercise useful?



