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How to plot vectors pointing outwards from origin in a 3D matrix?

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GreenEye
GreenEye on 20 Feb 2021
Edited: GreenEye on 24 Feb 2021
Something similar to the picture below. An origin point is specified and vectors are plotted outwards.
I need it in the format of three 3D matrices that each contain the component of the vector at the position. (Hx, Hy, Hz).
quiver3(X,Y,Z,Hx,Hy,Hz), ideally would plot something like the image below. (X,Y,Z are the positions, and Hx,Hy,Hz are vector components)

Accepted Answer

GreenEye
GreenEye on 24 Feb 2021
Edited: GreenEye on 24 Feb 2021
To anyone from the future, I answered my own question, as is often the case...
Using the spherical coordinate system
n = 32;
nc = round((n+1)/2);
vec = (1:n)-nc;
[x,y,z] = meshgrid(vec);
r = sqrt(x.^2 + y.^2 + z.^2);
psi = atan2(y,x);
theta = acos(z ./ r);
theta(isnan(theta)) = 0;
Mx = sin(theta).*cos(psi);
My = sin(theta).*sin(psi);
Mz = cos(theta);
quiver3(x,y,z,Mx,My,Mz)

More Answers (1)

Shadaab Siddiqie
Shadaab Siddiqie on 23 Feb 2021
From my understanding you want to plot vectors in a cube with the axis pointing opposite to the center of the cube. Here is the code which might help you.
X = -3:3; Y = -3:3;Z= -3:3;
[X,Y,Z] = meshgrid(X,Y,Z);
quiver3(X,Y,Z,X,Y,Z)
In this case the position of the vector (line) is considered as the direction because of the problem statement.
  1 Comment
GreenEye
GreenEye on 24 Feb 2021
Hi. This is close to what I want. Ideally there would be 3 matrices, each containing the vector component in them. For example, Hx(1,1,1) would contain the x component of the vector at the point (1,1,1). Hy(1,1,1) would contain the y component of the vector at the point (1,1,1). The vectors should have a length of 1.

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