Hi everyone,(adsbygoogle = window.adsbygoogle || []).push({});

Given a vector-valued function ##\vec{A}##, how do I show that:

$$\vec{\nabla} \times \left(\frac{\partial \vec{A}}{\partial x}\right) = \frac{\partial}{\partial x}(\vec{\nabla} \times \vec{A})$$

In other words, are the cross product and derivative commutative w/ each other? I have an intuition that this is true, but I would like to know a good way to show this.

Thank you very much.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I Question about Cross Product and Derivative

Tags:

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**