What is the difference between $ (A\cdot\nabla )B$ and $A(\nabla\cdot B)$, where $A$ and $B$ are two vectors.

My guess is that $ (A\cdot\nabla )B$ means the vector $A$ is being multiplied by the rate of change of $B$ in the direction of $A$. And $A(\nabla\cdot B)$ means vector $A$ is being multiplied by the divergence of $B$.

  • 1
    $\begingroup$ Yes, that's it. $\endgroup$
    – user228113
    Jul 2, 2016 at 19:07
  • $\begingroup$ Thank you! Vectors can be confusing! $\endgroup$ Jul 2, 2016 at 19:41


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.