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I generated some pics from 2 datum,one in $x$ direction and the other in $y$,so I used the commands:

exfield = Range[200];
polarplane = Range[200];
xx = Table[
Transpose[{exfield[[25, i]], polarplane[[25, i]]}], {i, 71}];

to get the vector field. But one problem here is, all the pics generated by the commands share the same maximum length of the vector. I can only see the orientation change but no magnitude change. I need a cartain standard (for instance, 1 cm vector length for the maximum data value $a_{max}$) to generate all the pics, so I can see the relative magnitude change. But I couldn't find the options. Have anyone encountered this same problem? Thank you. And the sample datum are like:

 exfield[[001]] = {              

and the sample data:


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migrated from Nov 12 '12 at 11:07

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Could you maybe post polarplane.dat and exfield.dat somewhere (e.g. Pastebin)? – J. M. Nov 12 '12 at 11:10
Oh, you finally come! Why not log in? – xzczd Nov 13 '12 at 3:56
it's quite a large file, tons of datum, I am trying to find a place to upload the file – user49114 Nov 13 '12 at 4:04 here, and, thank you – user49114 Nov 13 '12 at 4:09
up vote 2 down vote accepted

You can use the VectorScale option for ListVectorPlot to control the scaling of vector sizes.

ListVectorPlot[Table[{y, -x}, {x, -3, 3, 0.2}, {y, -3, 3, 0.2}], 
 VectorScale -> .05]

Mathematica graphics

ListVectorPlot[Table[{y, -x}, {x, -3, 3, 0.2}, {y, -3, 3, 0.2}], 
 VectorScale -> .1]

Mathematica graphics

Here is a fleshed out version:

Gather some data:

xxs = Table[Transpose[{exfield[[#, i]], polarplane[[#, i]]}], {i, 71}] & /@Range[27,35];

Find the relevant max vector sizes.

scales = With[{s = Max@Apply[Norm@#&,#,{2}] & /@ xxs}, s/Max@s];

Plot the vector fields, with a couple of fiddle factors for arrowhead size and absolute vector length:

   ListVectorPlot[#1, VectorScale -> #2, 
     VectorStyle -> Arrowheads[#2 0.015]] &, {xxs, 0.3 scales}], 3]]

Mathematica graphics

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This is a little different from OP's intention: he wants the length of arrows to somewhat represent the size of the vector. – xzczd Nov 13 '12 at 3:59
sorry I didn't put it clear, what i mean is i wanna use the same standard to present all the vectors in different plots. thank you anyway – user49114 Nov 13 '12 at 4:10
You can use the VectorScale to adjust the scale to the relative maximum size of the largest vector from each set of data. – image_doctor Nov 13 '12 at 9:38
Er…we can also use Norm instead of EuclideanDistance, right? – xzczd Nov 14 '12 at 6:05
@xzczd Yes certainly :) – image_doctor Nov 14 '12 at 7:49

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