anki-decks/edyn.1130981640.2125817583/wie-lautet-die-lagrangeidentitt.1.md

"[$$](\mathbf{a} \times \mathbf{b}) \cdot (\mathbf{c} \times \mathbf{d}) = (\mathbf{a} \cdot \mathbf{c})(\mathbf{b} \cdot \mathbf{d}) - (\mathbf{b} \cdot \mathbf{c})(\mathbf{a} \cdot \mathbf{d})[/$$]<br><br>mit Spezialfall<br><br>[$$]<span style=""white-space-collapse: preserve;"">|\mathbf{a} \times \mathbf{b}|^2 = |\mathbf{a}|^2 |\mathbf{b}|^2 - (\mathbf{a} \cdot \mathbf{b})^2</span>[/$$]"