An easy vector identity I can't prove

nathangrand
Messages
38
Reaction score
0
Show the following, where U is a vector, and r is the position vector: \nabla(U.r) = U in polar coordinates

Many Thanks
 
Physics news on Phys.org
A quick mechanical check shows it is not right
 
assuming, "find U such that...", i would start with the basis vectors.
 

Similar threads

How to approach vector calculus identities?
  • · Replies 9 ·
Replies
9
Views
2K
Proof of a vector identity in electromagnetism
  • · Replies 9 ·
Replies
9
Views
2K
Using Euler's formula to prove trig identities using "sum to product" technique
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Struggling with vector calculus identity used in E&M derivation
  • · Replies 3 ·
Replies
3
Views
2K
A derivative identity (Zangwill)
  • · Replies 3 ·
Replies
3
Views
2K
Divergence of ##\vec{x}/\vert\vec{x}\vert^3##
  • · Replies 4 ·
Replies
4
Views
2K
Vector Analysis Problem Involving Divergence
  • · Replies 6 ·
Replies
6
Views
2K
Vector calculus - show that the integral takes the form of (0, a, 0)
  • · Replies 4 ·
Replies
4
Views
2K
Proving the Vector Identity: curl(r x curlF) + (r . ∇)curlF + 2curlF = 0
  • · Replies 6 ·
Replies
6
Views
2K
Proving the Dot Product Identity for Vector Fields and Their Curl
  • · Replies 4 ·
Replies
4
Views
2K