# Math Help - Euclidean spaces - nonparametric equation of a plane

1. ## Euclidean spaces - nonparametric equation of a plane

I'm trying to study Euclidean spaces and one of the exercises is to derive the nonparametric equation for the following plane:
x = 2 - 3s + t
y = 4
z = 1 + s + t
I tried to write a new equation expressed in terms of x and y only:-
t = x - 2 + 3s = z -1 - s
However, I was stuck because I couldn't solve for s and t.

2. Originally Posted by math beginner
I'm trying to study Euclidean spaces and one of the exercises is to derive the nonparametric equation for the following plane:
x = 2 - 3s + t
y = 4
z = 1 + s + t
I tried to write a new equation expressed in terms of x and y only:-
t = x - 2 + 3s = z -1 - s
However, I was stuck because I couldn't solve for s and t.
If you now feel as if someone has made a practical joke you can use the cross-product of $(-3, 0, 1) \times (1, 0, 1)=(0,4,0)$ to determine the equation of the plane.