# Math Help - Cross product

1. ## Cross product

Why is the product of two vectors a vector in another dimension, why is it defined by the right-hand rule, and why is it defined by the area of the parallelogram defined by the two vectors? What are some applications of the cross product?

2. ## Re: Cross product

Let go of your visual representation. it will not take you far.
It simply is defined by the right-hand rule. Define by the left-hand rule and do everything updise down and backwards. It's a convention.
It isn't defined as an area. This is an application.