Dyadics

We can construct a dyadic from two vectors.

As an example, let those two vectors be the following:

$\overrightarrow a = a^1e_1 + a^2e_2 + a^3e_3$

$\overrightarrow b = b^1g_1 + b^2g_2 + b^3g_3$

It is clever to show the nine components of the dyadic in a 3×3 grid as is done below:

$\begin{matrix} e_1g_1 & e_1g_2 & e_1g_3 \\ \\ e_2g_1 & e_2g_2 & e_2g_3 \\ \\ e_3g_1 & e_3g_2 & e_3g_3 \end{matrix}$