# Unit vector normal to scalar field

1. Feb 7, 2005

### Reshma

How do you find a unit vector normal to the surface of scalar field

$$\phi(x,y,z)=x^2y+3xyz+5yz^2$$?

Should you apply the $$\nabla$$ operator to it?

2. Feb 7, 2005

### ZapperZ

Staff Emeritus
That operation will give you a vector normal to the surface. To find the unit vector, you of course need to divide by its magnitude.

Zz.

3. Feb 7, 2005