diff --git a/src/edyn.1130981640.2125817583/wie-lautet-die-lagrangeidentitt.1.md b/src/edyn.1130981640.2125817583/wie-lautet-die-lagrangeidentitt.1.md index 00a7489..26b875d 100644 --- a/src/edyn.1130981640.2125817583/wie-lautet-die-lagrangeidentitt.1.md +++ b/src/edyn.1130981640.2125817583/wie-lautet-die-lagrangeidentitt.1.md @@ -1 +1 @@ -"[$$](\mathbf{a} \times \mathbf{b}) \cdot (\mathbf{c} \times \mathbf{d}) = (\mathbf{a} \cdot \mathbf{c})(\mathbf{b} \cdot \mathbf{d}) - (\mathbf{b} \cdot \mathbf{c})(\mathbf{a} \cdot \mathbf{d})[/$$]

mit Spezialfall

[$$]|\mathbf{a} \times \mathbf{b}|^2 = |\mathbf{a}|^2 |\mathbf{b}|^2 - (\mathbf{a} \cdot \mathbf{b})^2[/$$]" +[$$](\mathbf{a} \times \mathbf{b}) \cdot (\mathbf{c} \times \mathbf{d}) = (\mathbf{a} \cdot \mathbf{c})(\mathbf{b} \cdot \mathbf{d}) - (\mathbf{b} \cdot \mathbf{c})(\mathbf{a} \cdot \mathbf{d})[/$$]

mit Spezialfall

[$$]|\mathbf{a} \times \mathbf{b}|^2 = |\mathbf{a}|^2 |\mathbf{b}|^2 - (\mathbf{a} \cdot \mathbf{b})^2[/$$]