Definition:Vector Cross Product

Definition
Let $\mathbf a$ and $\mathbf b$ be vectors in a vector space of $3$ dimensions:


 * $\mathbf a = a_i \mathbf i + a_j \mathbf j + a_k \mathbf k$
 * $\mathbf b = b_i \mathbf i + b_j \mathbf j + b_k \mathbf k$

where $\left({\mathbf i, \mathbf j, \mathbf k}\right)$ is the standard ordered basis of the vector space in question.

Also see

 * Equivalence of Definitions of Vector Cross Product


 * Lagrange's Formula
 * Cross Product is Anticommutative
 * Cross Product Not Associative


 * Definition:Dot Product