consider the vector field q=yzcos(xy)i+xzcos(xy)j+(sin(xy)+2z)k(adsbygoogle = window.adsbygoogle || []).push({});

verify that ∇ x q=0 and concequently determine a function f(x,y,z) such that q=∇f

now i have completed the first part by using the determinant and multiplying out, it is quite obvious that the whole thing equals zero, however i dont know how to do the second part "concequently determine a function f(x,y,z) such that q=∇f"

my first question is does ∇f simply mean the dot product when there is no dot there? i assume it does

and my second question is how do i approach this question? thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Two part question vectors

**Physics Forums | Science Articles, Homework Help, Discussion**