please check my matlab code... it says right now my variables are in the size $[11002]$ and it should be $[11001].$

Vectorize your script for Problem $4$ from Homework #$2.$ This means that you have to write a script that generates the following $3$D random walk $(1000$ steps$)$ without using a for$-$loop:

each step$-$size along $x$ is $-1,0,$ or $1.$

each step$-$size along $y$ is $-1$ or $1.$

each step$-$size along $z$ is $-2$ or $2.$

The vector that stores the $x-$position should be called $x$; the vector that stores the $y-$position should be called $y$; the vector that stores the z$-$position should be called $z.$

IMPORTANT: the marker starts its motion at $x(1)=0,y(1)=0,$ and $z(1)=0.$

Script $o.$

$N=1001$;

$x(1)=0$;

$y(1)=0$;

$z(1)=0$;

$dx=(randi(\left[\begin{array}{cc}-1& 1\end{array}\right],1,(N)))$;

$dy=((randi(\left[\begin{array}{cc}0& 1\end{array}\right],1,N)-0\mathrm{.}5)**2)$;

$dz=((randi(\left[\begin{array}{cc}0& 1\end{array}\right],1,N)-0\mathrm{.}5)**4)$;

$x=[x(1),$cum${\displaystyle \underset{?}{\overset{?}{}}}(dx)+x(1)]$

$y=[y(1),$cum${\displaystyle \underset{?}{\overset{?}{}}}(dy)+y(1)]$

$z=[z(1),$cum${\displaystyle \underset{?}{\overset{?}{}}}(dz)+z(1)]$