Page 22 - Introduction to Continuum Mechanics

Part A Permutation Symbol 7

d = d = d = 1
11
22
33
d 12 =d 13 =d 21 =d 23 =d 31 = d 32 = 0
In other words, the matrix of the Kronecker delta is the identity matrix, i.e.,

We note the following:

Or, in general

or, in general

In particular

etc.
(d) If e 1 ,e 2 ,e 3 are unit vectors perpendicular to each other, then

2A4 Permutation Symbol

The permutation symbol, denoted by e ijk is defined by