From WeBWorK
Jump to: navigation, search

Deprecated: Graphing a Vector Field in Space

Click to enlarge

This PG code shows how to make an interactive graph of a vector field displayed with the LiveGraphics3D Java applet. This example is deprecated because it uses Java, which is not universally supported by all web browsers.

Templates by Subject Area

PG problem file Explanation

Problem tagging data

Problem tagging:




Initialization: We need to include the macros file



$plot = VectorField3D(
Fx => Formula("x"),
Fy => Formula("y"),
Fz => Formula("z"),
xvar => 'x',
yvar => 'y',
zvar => 'z',
xmin => -1,
xmax =>  1,
ymin => -1,
ymax =>  1,
zmin => -1,
zmax =>  1,
xsamples => 4,
ysamples => 4,
zsamples => 4,
axesframed => 1,
xaxislabel => "X",
yaxislabel => "Y",
zaxislabel => "Z",
vectorcolor => "RGBColor[0.0,0.0,1.0]",
vectorscale => 0.2,
vectorthickness => 0.01,
outputtype => 4,

Setup: The VectorField3D() routine returns a string of plot data consisting of a list of line segments (the vectors) along with other plot options. The arguments RGBColor[a,b,c] are numbers a, b, and c between 0 and 1 inclusive. You can uniformly scale all of the vectors in the vector field by the same amount using vectorscale. The outputtype feature controls how much of the string of plot data is generated, and setting it equal to 4 generates all of the plot information necessary to be displayed.

Setting outputtype to something other than 4 will require you to read the source code of and familiarize yourself with the details of the LiveGraphics3D java applet. For more information on how to work with the string of plot data, see Martin Kraus's LiveGraphics3D homepage, and the excellent article by Jonathan Rogness and Martin Kraus Constructing Mathlets Quickly Using LiveGraphics3D.

image => "exploding-vector-field.png", 
size => [400,400],
tex_size => 600,
tex_center => 1,
scale => 1.25,

Main Text: To display the string of plot data $plot, we use the Live3Ddata() routine provided by the macro, which is automatically loaded by

After you construct the vector field you like, don't forget to take a screen shot of it and make an image file such as exploding-vector-field.png that will be used in the pdf hardcopy.

$showPartialCorrectAnswers = 1;

Answer Evaluation:

Solution explanation goes here.

COMMENT('MathObject version.');



Templates by Subject Area

follow us