Identity 5:
The left side is the divergence of the product , where is a scalar and F is a vector, both in polar coordinates. Hence, the resulting scalar is
=
The first term on the right is the product of the scalar and the divergence of F. The resulting scalar is
The second term on the right is the dot product of F with the gradient of . The resulting scalar is
=
The sum of the two terms on the right is then
|
|
|
|
|
|