- #1
bwest121
- 5
- 1
Hi everyone,
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.
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.