What is the result of C∇ where C is a constant?

[AbuYusufEg]

What would be the result of:
$$C \nabla$$
as C is any Constant ?

Note: i don't mean: $$\nabla C$$ as this is known, but i mean: $$C \nabla$$

 

[HallsofIvy]

First of all "nabla" is a symbol, not an operator. The operators that use the symbol "nabla" are $\nabla f$, $\nabla\cdot \vec{f}$, $\nabla\times\vec{f}$, and $\nabla^2 f$.

Putting a constant, C, before any of those would just be the result of $\nabla f$, $\nabla\cdot \vec{f}$, $\nabla\times\vec{f}$, or $\nabla^2 f$, multiplied by C.

 

[tiny-tim]

∇

Hi AbuYusufEg!

(have a nabla: ∇ )

What would be the result of:
$$C \nabla$$
as C is any Constant ?

Note: i don't mean: $$\nabla C$$ as this is known, but i mean: $$C \nabla$$

Just do the 'nabla', and then multiply the result by C.

Do you have an example in mind?