# Homework Help: Symmetric tensor

1. Nov 3, 2008

### germana2006

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

Demostrate:
$$c\cdot (A \times b) \neq (A \times b) \cdot c$$

with $$A \in\Re^{3 \times 3}$$ is a symmetric Tensor of second order and $$b,c \in \Re^3$$ are vectors

2. Relevant equations

3. The attempt at a solution

$$(A \times b)_ {ij} = A_{ij} \epsilon _{jkl} b_l$$

2. Nov 3, 2008

### gabbagabbahey

Let's define another tensor $T$ by $T_{ij}=(A \times b)_ {ij} = A_{ij} \epsilon _{jkl} b_l$...
what is $c \cdot T$ ?...how about $T \cdot c$ ?