The vector cross-product is an operation that takes two vectors and produces another. It is non-associative and non-commutative.

A vector cross-product can be computed by taking the determinant of a matrix:

where a is the vector $\left[\begin{matrix}a_1\\a_2\\a_3\end{matrix}\right]$ , b is the vector $\left[\begin{matrix}b_1\\b_2\\b_3\end{matrix}\right]$ and i, j and k are unit vectors.
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