Plot a plane or line in 3D

version 1.1.0.0 (7.42 KB) by Calvin Price
User specifies two independent vectors, and the corresponding plane is graphed.

5.2K Downloads

Updated 26 Dec 2008

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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')

Cite As

Calvin Price (2022). Plot a plane or line in 3D (https://www.mathworks.com/matlabcentral/fileexchange/22158-plot-a-plane-or-line-in-3d), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2008b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Acknowledgements

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

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