BUILT-IN MATHEMATICA SYMBOL

VectorScale

VectorScale
is an option to VectorPlot, ListVectorPlot, and related functions that determines the length and arrowhead size of field vectors that are drawn.

MORE INFORMATION

The following settings can be given for VectorScale:

	Automatic	automatic setting based on the location of field vectors
	Large,Medium, Small, Tiny	scale field vectors to be large, medium, etc.
	{unitlen,aratio,sfun}	use explicit specification of field vector scale

With the explicit specification VectorScale each field vector is constrained to fit in a vector box oriented in the direction of the field, centered at the location of the vector.

The unitlen is given as a fraction of the diagonal of the overall bounding box and is used as a local scale for vector boxes, aratio is the aspect ratio for vector boxes, sfun is a scaling function that determines the width of vector boxes.

The following settings can be used for unitlen:

	s	unit scale to use, given as a fraction of the diagonal of the overall bounding box
	Large,Medium,Small,Tiny	symbolic unit lengths

The following settings can be used for aratio:

	r	absolute aspect ratio relative to unitlen
	Scaled[r]	relative aspect ratio for each vector box
	Automatic	correspond to Scaled in 2D and Scaled in 3D

The following settings can be used for sfun:

	None	all vector boxes are unitlen wide
	func	a function of x, y, fx, fy, Norm
	Automatic	use Norm

When using an explicit sfun, positive values are automatically scaled to lie between 0 and 1. For other values the vector is not drawn.

EXAMPLES

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Basic Examples (3)

Use symbolic names to control the size of vectors:

Specify the relative size of vectors as a fraction of the diagonal of the plot range:

With the vector scaling function set to None, then all vectors have the same size:

Use symbolic names to control the size of vectors:

In[1]:=

Out[1]=

Specify the relative size of vectors as a fraction of the diagonal of the plot range:

In[1]:=

Out[1]=

With the vector scaling function set to None, then all vectors have the same size:

In[1]:=

Out[1]=

Scope (2)

Specify an absolute size for the arrowheads:

Specify arrowhead size relative to the length of the arrow:

Scale the vector length by the absolute value of the

coordinate:

By default the vector length is scaled by the norm of the vector field:

Scale the vector length by the

component of the vector field: