Question

Describe the surface in R3 that is represented by the equation y + z = 3

Answer 1

First, the equation you have given can be rewritten as:

0x + y + z =3.

Therefore, the "surface" is really just a plane in R^3.

Next, since the righthand side is NOT equal to zero, it means that we're dealing with a plane that doesn't pass through the origin-- hence, it's not "homogenous".

What else do you need to say about your surface??

Answer 2

All I have to do is describe the surface.

Answer 3

Thank you