# Cross product between vecter and tensor

1. Nov 20, 2008

### MatCond

1. The problem statement, all variables and given/known data

Just wanted to ask what's the definition of the cross product between a vector and a range two tensor

3. The attempt at a solution

$$(x \times \hat{T})_{i\beta}=\epsilon_{ijk} x_j T_{k\beta}$$

Last edited: Nov 20, 2008
2. Nov 3, 2009

3. Nov 3, 2009

### yunde shi

if those were true, then is the following correct ?

$$-(\hat{T}^{T} \times x) = (x \times \hat{T})^{T}$$