Code for generating the curve and the position vectors

% Position Vectors
% Dr. P.Venkataraman
%
t = 0 :1: 21;  % create a vector (MATLAB termnilogy)
%                from 0 to 20 in steps of 1

x = 1 + t;
y = 3 + sqrt(t);
z = 2 + t.*t;    % the period is necessary for
%                  element by element multiplication
 

plot3(x,y,z)

for i = 1:10:21;
   l = line([0 x(i)], [0 y(i)],[0 z(i)]); % draw line from origin
   % to the point P(x,y,z) - 3 lines will be drawn
   % they are position vectors as in this version
   % we cannot draw arrows
 
   set(l,'Color','r','LineWidth',2);
end
grid
xlabel('x');
ylabel('y');
zlabel('z');
view(37.5,30)
grid