# VectorScale

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

# Details  • 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->{unitlen,aratio,sfun} 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[0.6] in 3D
• The following settings can be used for sfun:
•  None all vector boxes are unitlen wide func a function of x, y, vx, vy, Norm[{vx,vy}] Automatic use Norm[{vx,vy}]
• 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:

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

 In:= Out= With the vector scaling function set to None, all vectors have the same size:

 In:= Out= ## Scope(3)

Introduced in 2008
(7.0)