So the Laplacian of a scalar is divergence of the gradient of a scalar field, and it comes out to the double derivative of the field in X, Y, and Z.(adsbygoogle = window.adsbygoogle || []).push({});

My book says the Laplacian of a vector field is the double derivative of the X component of the field with respect to X, the double derivative of the Y component with respect to Y, and same with Z.

I'm not sure how this comes about from the definition of the Scalar Laplacian.

**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!

# I How does the Vector Laplacian come about?

Have something to add?

Draft saved
Draft deleted

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