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 $z(1)=0.$