The outer product of two vectors is a second-order tensor with nine components. In
Chapter 9, Problem 9-11(choose chapter or problem)
The outer product of two vectors is a second-order tensor with nine components. In Cartesian coordinates, it is F ! G ! 5 C FxGx FxGy FxGz FyGx FyGy FyGz FzGx FzGy FzGz S The product rule applied to the divergence of the product of two vectors F ! and G ! is written as = ! ?(F ! G ! ) 5 G ! (= ! ?F ! ) 1 (F ! ?= ! )G ! . Expand both sides of this equation in Cartesian coordinates and verify that it is correct.
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