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**1. Homework Statement**

The Field strength tensor F

^{uv}encodes the electric and magnetic fields via:

E

_{i}=-cF

^{0i}, B

_{i}=-1/2 e

_{ijk}F

^{jk}, i=1,2,3 Show that E^2-c^2B^2 and cE.B are invariant under lorentze transformations, by writing them explicitly as invariant contractions using the tensors F

^{uv}and e

_{uvab}

**2. Homework Equations**

**3. The Attempt at a Solution**

What does write the explicitly as invariant contractions mean?