## Proof That The Divergence of a Constant Vector With The Radial Vector is Zero

Theorem

Ifis a constant vector andis the radial vector, andthen

Proof

Writeand

is a constant vector so all derivatives ofare zero.

Also

hence

is said to be solenoidal.

Theorem

Ifis a constant vector andis the radial vector, andthen

Proof

Writeand

is a constant vector so all derivatives ofare zero.

Also

hence

is said to be solenoidal.