Maybe this gives you some ideas on how to start:
% Generate N random points on a plane
N = 100;
x = rand(1,N);
y = rand(1,N);
z = ones(1,N);
plot3(x,y,z,'k*');
hold on;
% Rotate by rotation of approximately -74° around the axis (?1?3,2?3,2?3)
% in three-dimensional space - http://en.wikipedia.org/wiki/Rotation_matrix
rotationMatrix = ...
[ 0.36 0.48 -0.8
-0.8 0.60 0
0.48 0.64 0.60];
transformedPoints = rotationMatrix*[x; y; z];
tx = transformedPoints(1,:);
ty = transformedPoints(2,:);
tz = transformedPoints(3,:);
plot3(tx,ty,tz,'b*');
% Rotate the figure to visualize better
rotate3d('on');
hold off;
