Combination of X and Y vectors to get all possible positions on a Cartesian plane

Dear Community,

I have a challenging task that I am not able to solve so far: I have a vector X of 'n' elements (in my case those are X coordinates) and I have another vector Y of 'm' elements (in my case Y coordinate). I just want to creat a new vector Z with n*m rows and 2 colums that lists within all possible combinations of points on the XY Cartesian plane.

Example:

X=1,2,3,4 (n=4)

Y=5,6 (m=2)

then Z= 1,5 1,6 2,5 2,6 3,5 3,6 and so on....

Answer 1

[James Tursa]

[XX,YY] = ndgrid(X,Y);
Z = [XX(:),YY(:)];

[Maximilian Arpaio]

Thanks a lot James.

Actually, surfing better among the already available answers (my fault sorry) I've also found:

[A,B] = meshgrid(X,Y);
c=cat(2,A',B');
Z=reshape(c,[],2);

coming from this post: LINK

Answer 2

[Jos (10584)]

For two vectors, x and y, this might be faster than ndgrid (not tested)

xy = [repelem(x(:), numel(y), 1) repmat(y(:), numel(x), 1)]