## Proving Vector Identity Using Levi-Civita Symbol

**Roel N. Baybayon**

MSPhysics1

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We are going to prove the following vector identity using Levi-Civita symbol:

Solution:

Let , , , .

Then,

By definition:

We have to let m=n so that,

Levi-Civita symbol can be expressed in terms of Kronecker delta given by:

Thus,

October 5th, 2015 at 11:56 pm

Thanks a lot! Very helpful!