Can Vector Field G on R^3 Exist?

[briteliner]

Homework Statement

can there be a vector field G on R^3 such that G=<xsiny, cosy, z-xy>?

Homework Equations

The Attempt at a Solution

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the answer is no, but i don't understand why. any help is appreciated, thanks

 

[Dick]

G IS a vector field on R^3. I don't think you have the question right.

 

[briteliner]

i checked again, i have the question right, and in the back of the book it says no

 

[Dick]

Ok. Then what is your definition of 'vector field'?