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Plot a plane or line in 3D

by Calvin Price

 

19 Nov 2008 (Updated 26 Dec 2008)

User specifies two independent vectors, and the corresponding plane is graphed.

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Description

The user supplies two independent 3x1 vectors, and output is a graph of the plane generated by these two vectors. A single input of one 3x2 matrix is also ok.  
 
The user may specify just one vector. The plot will  
then be just the line generated by that vector.  
 
The plot will also be a line if the two input vectors are linearly  
dependent.  
 
Optional 3rd argument: User may also specify a string that determines the plot style of the plane, using the same string options as for MATLAB's plot function.  
 
OTHER FUNCTIONS REQUIRED: arrow3D.m (by Shawn Arseneau), column3D.m, scatter3_2.m, normalize.m, rotatePoints.m  
(all of these are included in zip file)  
 
 
EXAMPLE: >> plotp([1;1;1],[2;2;-4])  
                  >> plotp([1;1;1],[3;-3;0],'m')  
 
 
EXAMPLE: for matrix of rank 1, plot the 2 dimensional nullspace (a plane), and 1 dimensional row space (a line), the two should be visibly orthogonal subspaces  
 
>> A=[1 0 0; 2 0 0; 3 0 0]  
 
A =  
 
     1 0 0  
     2 0 0  
     3 0 0  
 
>> hold on  
>> plotp(null(A))  
>> plotp(orth(A'),'m')  
 

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
3D Arrow with many color/parameter options

MATLAB release MATLAB 7.7 (R2008b)
Zip File Content  
Other Files rotatePoints.m,
scatter3_2.m,
normalize.m,
plotp.m,
arrow3D.m,
column3D.m
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Updates
26 Dec 2008 Added "rotatePoints.m" into zip file; file is needed for arrow3D.m (by Shawn Arseneau)

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