Question

How to construct antisymmetric tensors given vectors?

Answer 1

This problem needs to be solved in cartesian coordinate system. The problem I'm facing is that how will I create a tensor of rank 2 with just one vector. To use cross product, i need at least two vectors. I'm have just started studying tensor, and also, if i create a second order tensor, to get the an antisymmetric tensor, I'll just have to subtract the tensor from its transpose and half it. W+WT2 where W be the second order tensor. Is that correct