Arrow lengths don't represent the ratio of velocities for 2 Quiver Plots

I have plotted two sets of velocity data for the same position data in a single quiver plot.

figure
quiver(xposition,yposition,uvelocity,vvelocity,'b')
hold on
quiver(xposition,yposition,v2dprime(1,:)',v2dprime(2,:)','r')
axis equal

But, visually from Figure 1, the length of arrows of the second dataset (red) is huge in comparison to the first dataset (blue). This is happening despite the actual velocities being comparable or in some cases, uvelocity(vvelocity) being greater than v2dprime. I would like the length of vectors originating at every point to represent the actual ratio of velocities. If I turn the scaling off, the first dataset (blue) is weirdly magnified as in Figure 2.

Answer 1

[VBBV]

D = load('Data.mat');
figure
quiver(D.xposition,D.yposition,D.uvelocity,D.vvelocity,'b','AutoScaleFactor',2.5)
hold on
quiver(D.xposition,D.yposition,D.v2dprime(1,:)',D.v2dprime(3,:)','r')

% axis equal

[VBBV]

If you use AutoScaleFactor, property you can set the arrow lengths according to red color graph,

[PASUNURU SAI VINEETH]

Thanks for the response. An AutoScaleFactor of 30 for blue graph is keeping things in proportion. Is it always trial and error though? I was hoping there would be a way the program can take care of it.

Answer 2

[鑫源]

plot the histogram, you 'll find the blue one in fact exists a few exaggeratedly large vecs. Though average length of the blue one and the red are comparalbe. I think that's the problem

C={[uvelocity, vvelocity],[v2dprime(1,:)',v2dprime(2,:)'],}
D=cellfun(@(x)vecnorm(x,2,2),C,UniformOutput=false);
>> histogram(D{1})
>> histogram(D{2})

[鑫源]

MaxHeadSize

AutoScale

AutoScaleFactor

notice these props