Hello there :) I need help with my assignment.
I need to construct a parametric equation that defines a triangular polygon bounded by 3 segments. This is meant to be as extra credit.
However, I do not understand much about planes and polygons and thus I need help. Really appreciate all the help i can get on this. There are 5 questions for the extra credit but I managed to solve all except this last one.
Question: Write parametric equations $x(u,v), y(u,v), z(u,v), where u,v \in [0,1]$ defining a triangular polygon which is bounded by three segments defined by
$x=1+2u\;\;\;\;$ $y=1+u\;\;\;\;$ $z=1-u\;\;\;\;$ $u,v \in [0,1]$
$x=3-u\;\;\;\;$ $y=2+u\;\;\;\;$ $z=4u\;\;\;\;\;$ $\;u,v \in [0,1]$
$x=2-u\;\;\;\;$ $y=3-u\;\;\;\;$ $z=4-3u\;\;\;\;$ $u,v \in [0,1]$
Thank you all so much for any valuable input that you have to offer. I really appreciate this!