géométrie lycée recueilchapitre 4exercice 4.5vecteurs

A vector relation in space

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

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Soient $A, B, C, D$ quatre points dans l'espace. On a toujours : \[ |AB|^2 + |CD|^2 - |BC|^2 - |AD|^2 = 2\,\overrightarrow{AC} \cdot \overrightarrow{DB}. \]

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

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