Can anyone help me proving this:(adsbygoogle = window.adsbygoogle || []).push({});

http://img88.imageshack.us/img88/3730/provei.jpg [Broken]

And just for curiosity, is there a proof for why is the Laplace operator is defined as the divergence (∇·) of the gradient (∇ƒ)?

And why it doesn't work on vetorial function.

Thanks in advance, guys!

Igor.

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

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!

# Proof: curl curl f = grad (div (f)) - grad^2

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