(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The Vector fieldB(x) is everywhere parallel to the normals to a family of surfaces f(x) = constant. Show that

[tex] B \bullet ( \nabla \times B ) = 0[/tex]

2. Relevant equations

3. The attempt at a solution

ClearlyB(x) is orthogonal to the tangent planes at each points on any of the surfaces. So if curl ofB(x) was in the direction of the the tangent planes of the family of surfaces, the result would follow. but I dont see :S

Thanks for any help :)

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

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

# Homework Help: Vector Field everywhere parallel to

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

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