Plotting random vectors

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Jenn Lee
Jenn Lee 2011-10-21
Just a heads up, I have virtually no matlab experience. I need to generate a an XY-plane where a random number 'n' vectors will be plotted. How do I do this?
Also, after they are plotted I want to iterate the function so that every time I hit enter the graph will update moving the vectors in a certain manner based on the following two functions: (x_i is the i^th particle's position) x_i(t + 1) = x_i(t) + v_i(t)(t-t_0) as position
(i^th particles direction) theta(t+1) = theta(t)_r
where theta(t)_r denotes the average direction of velocities of of the particles surrounding the ith particle being within a circle of radius r.
Hopefully this would eventually make all the vectors point in the same direction and cluster to a certain area.
Thanks in advance

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Poul Reitzel
Poul Reitzel 2011-10-21
R = rand(N) returns an N-by-N matrix containing pseudorandom values drawn from the standard uniform distribution on the open interval(0,1).
You could draw your vectors from R by random coordinates for every vector. For plotting consider using the file:
http://www.mathworks.com/matlabcentral/fileexchange/7470
If you need to update the plot, put a 'hold on' command after plotting the initially generated vectors. Then update the coordinates based on the requirement you mention. In a loop I would see this simple solution working.
I hope it helps!
Best regards, Poul Reitzel
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Jenn Lee
Jenn Lee 2011-10-22
Oh wow! Thanks!
In the second part of your answer you mentioned that I could draw my vectors from R by making random coordinates. How would I make random coordinates for every vector though?
Jenn Lee
Jenn Lee 2011-10-22
If I use R = rand(n), can I use quiver() to generate vectors for the points? And would I just use plot(R) to graph the generated points of R?

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