Let $ X = x i+ y j+z k$, and $r=||X||$. Prove that $\nabla (\frac{1}{r})=-\frac{X}{r^3}.$
Answer
Answers can be viewed only if
- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.

4.5K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.
- answered
- 291 views
- $15.00
Related Questions
- Calculus / imaginary numbers and S^2
- Uniform convergence of functions
- Proving f is continuous
- A function satifying $|f(x)-f(y)|\leq |x-y|^2$ must be constanct.
- Calc 3 Question
- The volume of a spherical tank with radius = r is expanding in such a way that r is increasing at 1 cm/min. At what rate is the volume expanding when r = 100 cm?
- Evaluate $\iint_{R}e^{-x-y}dx dxy$
- Complex Variables