# crossProdMat

Below is a demonstration of the features of the `crossProdMat` function

## Contents

```
clear; close all; clc;
```

## Syntax

`A=crossProdMat(a);`

## Description

This function computes the so-called "cross product matrix". The output is a matrix A which is a skew-symmetric tensor, which allows for the computation of the cross product with the input vector a. In other words the matrix A can be used to compute c=A*b which is equivalent to c=cross(a,b).

## Examples

% Example vector a=[1 0 0]' % Compute the cross product matrix [A]=crossProdMat(a) % Example vector to compute cross product with b=[0 1 0]' % Use A to compute cross product axb c=A*b % Check "traditional" approach c=cross(a,b)

a = 1 0 0 A = 0 0 0 0 0 -1 0 1 0 b = 0 1 0 c = 0 0 1 c = 0 0 1

* GIBBON* www.gibboncode.org

*Kevin Mattheus Moerman*, [email protected]

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License: https://github.com/gibbonCode/GIBBON/blob/master/LICENSE

GIBBON: The Geometry and Image-based Bioengineering add-On. A toolbox for image segmentation, image-based modeling, meshing, and finite element analysis.

Copyright (C) 2006-2022 Kevin Mattheus Moerman and the GIBBON contributors

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