\ \
The plane equation is
. \ \
Consider
. \ \
Substitute
in the plane equation. \ \

The parameters of the vector valued function as a function of
are
and
.
\ \
The vector valued function is in the form of
where
and
are the parametric equations as a function of
.
Substitute
and
in the vector value function. \ \

The vector valued function is
. \ \
The vector valued function is
. \ \