# Find f(x,y) s.t. z=f(x,y) defines a plane in R^3

#### gex

The Question: Attempt at a solution: I know for a fact that my attempt is fully wrong, but I am just grasping at straws here and have no clue how to approach this problem. Any help getting me to wrap my head around how to approach this is much appreciated. Thank you in advance.

Related Calculus and Beyond Homework News on Phys.org

#### Ray Vickson

Science Advisor
Homework Helper
Dearly Missed
The Question:
View attachment 240732
Attempt at a solution:
View attachment 240733

I know for a fact that my attempt is fully wrong, but I am just grasping at straws here and have no clue how to approach this problem. Any help getting me to wrap my head around how to approach this is much appreciated. Thank you in advance.
Try setting $f(x,y) = ax + by + c$ for some unknown constants $a,b,c.$ Using your given contitions you can eventually determine $a,b$ and $c$.

Last edited:
• gex

#### gex

Try setting f(x,y)=ax+by+cf(x,y)=ax+by+cf(x,y) = ax + by + c for some unknown constants a,b,c.a,b,c.a,b,c. Using your given contitions you can eventually determine a,ca,ca,c and ccc.
Thank you so much Ray! I don't know how that didn't cross my mind. I successfully solved the problem now.

### Want to reply to this thread?

"Find f(x,y) s.t. z=f(x,y) defines a plane in R^3"

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving