I need help parameterizing the following (is it a plane?)
$$ -a/2\leq x\leq a/2\\ -b/2\leq y \leq b/2\\ z=z_0\quad (\text{constant}) $$ I have two attempts, but I not sure which one is correct.
Attempt 1:
Let $x=s$, $y=t$, so $\mathbf r(s,t)=(s,t,z_0)$ where, $s\in[-a/2,a/2]$ and $t\in[-b/2,b/2]$.
Attempt 2:
Let $x=as/2$, $y=bt/2$, so $\mathbf r(s,t)=(as/2,bt/2,z_0)$ where, $s\in[-1,1]$ and $t\in[-1,1]$.