I read about symbols which simplify representing vectorial operations.(adsbygoogle = window.adsbygoogle || []).push({});

For example

[tex] A_\mu\hat{e_\mu}=\sum_{i=1}^{3} A_i\hat{e_i}=\vec{A}[/tex]

also

[tex]\vec{A}\times\vec{B}=\sum_{i,j,k=1}^{3} \epsilon_{ijk}\hat{e_i}A_j B_k = \epsilon_{\lambda\mu\nu} \hat{e_\lambda} A_\mu B_\nu [/tex]

As an exercise i have to simplify [tex](\vec{A}\times\vec{B})^2[/tex].

Can anybody help me? I don't know what to do with [tex](\epsilon_{\lambda\mu\nu} \hat{e_\lambda} A_\mu B_\nu)^2[/tex].

Thank you

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# Levi - Civita tensor and operations with it

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