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

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1. Feb 28, 2017

### faheemahmed6000

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.

(My guess is there there may be at least 50 different cross products in all of physics)

2. Feb 28, 2017

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

3. Feb 28, 2017

### Khashishi

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.

4. Feb 28, 2017