In R^3 it is easy to compute the cross product, and i know how to compute it in higher dimensions using wedge product and the hodge star, which shows that it only exists in 3n dimensions.(adsbygoogle = window.adsbygoogle || []).push({});

My question is given two vectors in C^3 (complex), is there a neat way to find one perperdicular to both? Ie - a generalization of the original cross product?

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

Dismiss Notice

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!

# Possible Generalization of Cross Product?

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