How do you show/derive/prove this vector-valued function identity?
-
R(t) is a vector-valued function. Please show that d/dt (||R(t)||) = [R(t) · R'(t)] / ||R(t)|| Note: R is supposed to have an arrow above it and || || means absolute value. * I cannot answer this exercise . Please help me. I've tried using implicit differentiation and basic identities of dot products.
-
Answer:
Hmm, it looks like the scalar projection formula scalar projection of vector b on vector a = a.b/|a| see your equation with this approach scalar projection of R' on R = R.R'/|R| is d/dt( |R(t)| ) = scalar projection of R' on R?
Lindsay at Yahoo! Answers Visit the source
Related Q & A:
- how to estimate the phase parameter of a complex function?Best solution by Mathematics
- How to pass multiple parameters in a single Ajax function?Best solution by stackoverflow.com
- How do I convert a bitmap to vector?Best solution by Super User
- How to find the derivative without using a symbolic function in Matlab?Best solution by Stack Overflow
- Is Tyra's show similar to how Oprah's show was when it first started?Best solution by Yahoo! Answers
Just Added Q & A:
- How many active mobile subscribers are there in China?Best solution by Quora
- How to find the right vacation?Best solution by bookit.com
- How To Make Your Own Primer?Best solution by thekrazycouponlady.com
- How do you get the domain & range?Best solution by ChaCha
- How do you open pop up blockers?Best solution by Yahoo! Answers
For every problem there is a solution! Proved by Solucija.
-
Got an issue and looking for advice?
-
Ask Solucija to search every corner of the Web for help.
-
Get workable solutions and helpful tips in a moment.
Just ask Solucija about an issue you face and immediately get a list of ready solutions, answers and tips from other Internet users. We always provide the most suitable and complete answer to your question at the top, along with a few good alternatives below.