The problem of your code is that you assign the results of your multiplaction to n, which mean that you will only store the last results of your for loop in n. To fix that you need to assign an array index to n(index) that increases after each loop cycle.
However, dot product directly multiplies matrices element-wise so you don't need for loops here:
a = [1 2 3];
b = [3 2 1];
a.*b
x=[0 1 0];
y=[ 0.3333 0.6667 0];
z=[0.7667 0.2333 0];
n=x.*y.*z
n_nozero=nonzeros(n)
