Save each vector iteration into a matrix

I have 2 vectors, a and b and the sum of both is v.The time t ranges from 0 to 20 and i would like to save each iteration of v (a vector) into a matrix (where there are 21 vectors thus 3x21). Currently this code goes through each iteration however overwrites all of them and only shows the last value of t. Im am also unsure where the 'if' command is suitable in this circumstance.

for t=1:20;
  a = [t,cos(t),0]';
  b = [0,0,sin(t)]';
  v = a + b;
end

Answer 1

[Cory Johnson]

There are lots of ways to organize data in MATLAB. Below I have shown 3 ways to do this. I think you're looking for the last method.

%%Cell Array
for t=0:20;
a{t+1} = [t,cos(t),0]';
b{t+1} = [0,0,sin(t)]';
v{t+1} = a{t+1} + b{t+1};
end

%%Structure array
for t=0:20;
vec(t+1).a = [t,cos(t),0]';
vec(t+1).b = [0,0,sin(t)]';
vec(t+1).v = vec(t+1).a + vec(t+1).b;
end

%%Only save v
v = [];
for t=0:20;
a = [t,cos(t),0]';
b = [0,0,sin(t)]';
v = [v, (a + b)];
end

Hope that helps!

[Abdur Rahim]

It's greats having all those methods because I can use the format for future codes, its helped me a lot thanks.

[Abdulramon Adeyiola]

Thanks for this. Meanwhile, what if the dimension of the two vectors are not the same?