Calculates the vector cross product of two matrices, which must have the same size. The cross product will be computed on the first dimension that has a size of 3. There must be at least one dimension with a size of 3.
Assume that A,B are 2D matrices, where the second dimension contains the vector components. The size of the second dimension must be 3. Then the elements of C will be calculated with the standard cross product formulas.
$$ \begin{array}{l}{\mathbf{C}(i, 1)=+\mathbf{A}(i, 2) \mathbf{B}(i, 3)-\mathbf{A}(i, 3) \mathbf{B}(i, 2)} \\ {\mathbf{C}(i, 2)=-\mathbf{A}(i, 1) \mathbf{B}(i, 3)+\mathbf{A}(i, 3) \mathbf{B}(i, 1)} \\ {\mathbf{C}(i, 3)=+\mathbf{A}(i, 1) \mathbf{B}(i, 2)-\mathbf{A}(i, 2) \mathbf{B}(i, 1)}\end{array} $$
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Syntax |
Description |
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C = cross(A, B); |
Returns the cross product of A and B |
Example
Calculate the cross product of (1,1,0) and (0,1,0).
A=[1,1,0]; B=[0,1,0]; ?C=cross(A,B); return: 0 0 1
See Also
List of commands , dot , * , length , size