3x3 Cross Product

Calculate cross product of two 3-by-1 vectors

• Library:

• Aerospace Blockset / Utilities / Math Operations

• 

Description

The 3x3 Cross Product block computes cross (or vector) product of two vectors, A and B. The block generates a third vector, C, in a direction normal to the plane containing A and B, with magnitude equal to the product of the lengths of A and B multiplied by the sine of the angle between them. The direction of C follows the right-hand rule in turning from A to B. For related equations, see Algorithms.

Ports

Input

A — First cross product input

3-by-1 vector

First cross product input, specified as a vector.

Example: [10 2 3]

Data Types: double

B — Second cross product input

3-by-1 vector

Second cross product input, specified as a vector.

Example: [10 2 3]

Data Types: double

Output

C — Cross product

3-by-1 vector

Cross product, output as a vector.

Data Types: double

Model Examples

Six Degree of Freedom Motion Platform

How to connect an Aerospace Blockset™ six degree of freedom equation of motion block.

Open Model

Algorithms

The equations used to calculate A, B, and C are:

$$\begin{array}{c}A=a_{1}i+a_{2}j+a_{3}k\\ B=b_{1}i+b_{2}j+b_{3}k\\ C=A\times B=\left|\begin{array}{ccc}i& j& k\\ a_1& a_2& a_3\\ b_1& b_2& b_3\end{array}\right|\\ =(a_2{b}_3-a_3{b}_2)i+(a_3{b}_1-a_1{b}_3)j+(a_1{b}_2-a_2{b}_1)k\end{array}$$

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.