Define symmetric anti-symmetric tensors. Write down transformation law obeyed by the components of a

i) Contravarient tensor of rank 3, and

ii) Covariant tensor of rank 3.

Symmetric and anti-symmetric tensors are important concepts in the context of mathematical methods in physics, particularly in the study of tensors, which are mathematical objects used to describe physical quantities with both magnitude and direction.

1. Symmetric Tensor: A symmetric tensor is a type of tensor where the interchange of any two of its indices does not change its ______ ________ ________ ____ ___ ______ ________ ______ ____ ______.
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