Results 1 to 5 of 5

Math Help - Normal vector

  1. #1
    Junior Member
    Joined
    Feb 2011
    Posts
    30

    Normal vector

    Given the curve C on \mathbb R^3 parametrized by r(t). Find the normal vector on r(1)=(3,1,3) if the osculator plane on that point is 3y-x=0 and r(1)\cdot N(1)>0 with r'(1)=(6,2,2). (I don't know if "osculator" makes sense here.)

    I hope you guys can help, I have an exam on march and I'm scared.

    I don't remember how to solve this, since I lost my calculus notebook.

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor FernandoRevilla's Avatar
    Joined
    Nov 2010
    From
    Madrid, Spain
    Posts
    2,162
    Thanks
    45
    Hint :


    \det [r(t)-r(1),r'(1),r''(1)]=k(3y-x)


    Fernando Revilla
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Feb 2011
    Posts
    30
    Quote Originally Posted by FernandoRevilla View Post
    \det [r(t)-r(1),r'(1),r''(1)]=k(3y-x)
    Okay, this may be related to the osculator plane, but I don't get the determinant and their components.

    Could you elaborate?

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Feb 2011
    Posts
    30
    Hi Fernando, is it possible that you may help me a bit more?

    I'll appreciate that!
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member
    Joined
    Mar 2010
    Posts
    280
    <br />
r(t)=(x(t),y(t),z(t))<br />

    <br />
r(1)=(x(1),y(1),z(1))<br />

    <br />
r'(t)=(x'(t),y'(t),z'(t))<br />

    <br />
 r'(1)=(x'(1),y'(1),z'(1)).<br />
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Normal Vector Help
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 7th 2009, 07:44 PM
  2. normal vector
    Posted in the Calculus Forum
    Replies: 5
    Last Post: September 7th 2009, 07:35 PM
  3. normal vector
    Posted in the Calculus Forum
    Replies: 0
    Last Post: September 6th 2009, 09:35 PM
  4. Normal vector
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 3rd 2008, 02:12 PM
  5. normal vector
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 5th 2007, 10:13 PM

Search Tags


/mathhelpforum @mathhelpforum