I Can anybody give me a list of all cross products in physics.

AI Thread Summary
The discussion centers on compiling a comprehensive list of cross products used in physics, with several examples provided, including torque, angular momentum, and the Lorentz force law. Participants clarify that the original request excludes the curl operator, which is often associated with cross products in vector calculus. There is a suggestion that the number of distinct cross products in physics could exceed 50, depending on the context of their application. The conversation also touches on the distinction between cross products as computational tools versus their occurrence in physical laws. Overall, the thread seeks to expand the list of recognized cross products in physics.
faheemahmed6000
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Can anybody give me a list of all cross products in physics. I have the following in my list:

Torque
$$\vec{\tau}=\vec{F}\times\vec{r}$$
Angular momentum
$$\vec{L}=\vec{r}\times\vec{p}$$
Velocity
$$\vec{v}=\vec{\omega}\times\vec{r}$$
Biot-Savart law
$$\vec{dB}=\dfrac{\vec{i dl}\times\hat{r}}{r^{2}}$$
Lorentz force law
$$\vec{F_{B}}=\vec{v}\times\vec{B}$$
Poynting vector
$$\vec{S}=\vec{E}\times\vec{H}$$

Can anybody help me in increasing this list as much as possible.

Please not that I am not talking about the curl operator

(My guess is there there may be at least 50 different cross products in all of physics)
 
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Are you counting the cross product as a computational aid in dealing with physical bodies, or are you just interested in occurrences in physical laws? A small list of the former, but enough to get an idea, is presented in https://en.wikipedia.org/wiki/Cross_product#Applications
 
Are you counting curl as a cross product?
##\nabla \times \mathbf{v}##
There's a fair number of those. For example, Maxwell's equations and vorticity.
 
Khashishi said:
Are you counting curl as a cross product?
faheemahmed6000 said:
Please not that I am not talking about the curl operator
 
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