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Plot a plane or line in 3D

version 1.1 (7.42 KB) by

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

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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')

Comments and Ratings (4)

Jornney

good

Shriram

Neal

Neal (view profile)

Nice for visualization with tensor calculus

Updates

1.1

Added "rotatePoints.m" into zip file; file is needed for arrow3D.m (by Shawn Arseneau)

MATLAB Release
MATLAB 7.7 (R2008b)
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Acknowledgements

Inspired by: 3D Arrow with many color/parameter options

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