1. What plane?

x(u,v)=(u+v, u-v, uv), u,v e R

What plane is this?

2. Re: What plane?

Originally Posted by mboricgs
x(u,v)=(u+v, u-v, uv), u,v e R What plane is this?
It is not a plane. From $u+v=x,u-v=u,z=uv$, you'll obtain $4z=x^2-y^2$ (a hyperbolic paraboloid).

3. Re: What plane?

I am looking in some past colloquiums, and that is the question from one of them