Question

What is difference between gradient of function and function dot del?

Answer 1

I came across this in Griffith's E&M book and can't quite figure it out. After going through the vector product rules with DEL. I noticed sometimes the terms are written as V ⋅ ⋅∇ and other times it's ∇ ⋅ ⋅V. I searched more and I found things like convective operators and operators in general but it made things more confusing for me. If it is V ⋅ ⋅∇ then does that mean it's: V x d d x + V y d d y + V z d d z Vxddx+Vyddy+Vzddz ? I'm not sure how to interpret that expression if it correct..

Reference https://www.physicsforums.com/threads/how-does-del-dot-v-differ-from-v-dot-del.613816/