# Cross Product

by quantumfoam
Tags: cross, product
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,682 Saying that c is a 'constant' doesn't mean it is not a vector. A "constant" is simply something that does not change as some variable, perhaps time or a space variable, changes. In your formua c is a constant vector.
 P: 118 Ohhh. That makes a lot of sense! Is there anyway I could determine what the constant vector is?
P: 758
 Quote by quantumfoam Ohhh. That makes a lot of sense! Is there anyway I could determine what the constant vector is?
A constant vector does not have to be a scalar !! A constant vector has a constant magnitude and a constant direction...
 Quote by micromass The cross product is only defined between vectors of $\mathbb{R}^3$. The cross of a constant and a vector is not defined.
In 3D, there are three independent bivectors: $B_{xy}, B_{yz}, B_{zx}$. The cross product can be thought of as the exterior product, combined with the identification of $B_{xy}$ with the unit vector $\hat{z}$, $B_{yz}$ with the unit vector $\hat{x}$, and $B_{zx}$ with the unit vector $\hat{y}$.