Results 1 to 2 of 2

Math Help - vector fields

  1. #1
    s7b
    s7b is offline
    Junior Member
    Joined
    Jan 2009
    Posts
    58

    vector fields

    I don't understand how to solve problems that look like this;

    Evaluate the integral f dr for the vector field F= yi -xj counterclockwise along the unit circle x^2 + y^2=1 from (1,0) to (0,1)

    Does anyone know how to go about solving something like this...
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    May 2008
    Posts
    2,295
    Thanks
    7
    Quote Originally Posted by s7b View Post
    I don't understand how to solve problems that look like this;

    Evaluate the integral f dr for the vector field F= yi -xj counterclockwise along the unit circle x^2 + y^2=1 from (1,0) to (0,1)

    Does anyone know how to go about solving something like this...
    x=\cos t, \ y=\sin t, \ \ 0 \leq t \leq \frac{\pi}{2}. so \int F \cdot dr = \int ydx - x dy = -\int_0^{\frac{\pi}{2}} \ dt=\frac{-\pi}{2}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Vector Fields
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 3rd 2010, 04:49 AM
  2. vector fields
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 16th 2010, 09:19 AM
  3. vector fields - graphing gradient fields
    Posted in the Calculus Forum
    Replies: 0
    Last Post: March 20th 2010, 06:53 PM
  4. Vector Fields...
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 9th 2008, 12:12 PM
  5. Vector Fields
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 8th 2006, 08:35 AM

Search Tags


/mathhelpforum @mathhelpforum