function Q3



close all


%% setup the vectors
x=linspace(-5,5,100)
y=linspace(-5,5,100)

%% compute the function
z=y*y - x*x

%% plot the surface plot
surf(x,y,z)
shading flat;
alpha(0.5);

%%Compute the graident
[fx,fy]=gradient(z);

%% For every 10th point plot the gradient
hold on;
x=x(1:10:100)
y=y(1:10:100)
z=z(1:10:100)
fx=fx(1:10:100)
fy=fy(1:10:100)
quiver3(x,y,z,fx,fy);