Results 1 to 2 of 2

Math Help - vector-equation of straight line

  1. #1
    Member
    Joined
    Apr 2014
    From
    canada
    Posts
    160

    vector-equation of straight line

    can i do this question in both ways? since the question does not state which point is a , (r=a+tb ) , and how about the b , can i take (3,1, -2 ) minus (4, 0 ,2 ) and (4, 0 ,2 ) minus (3,1, -2)vector-equation of straight line-dsc_0001-11-1-.jpgvector-equation of straight line-dsc_0002-7-1-.jpg
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123

    Re: vector-equation of straight line

    Quote Originally Posted by delso View Post
    can i do this question in both ways? since the question does not state which point is a , (r=a+tb ) , and how about the b , can i take (3,1, -2 ) minus (4, 0 ,2 ) and (4, 0 ,2 ) minus (3,1, -2)Click image for larger version. 

Name:	DSC_0001~11[1].jpg 
Views:	6 
Size:	123.2 KB 
ID:	31024Click image for larger version. 

Name:	DSC_0002~7[1].jpg 
Views:	5 
Size:	278.7 KB 
ID:	31025
    Good morning,

    if you have 2 points then you can get 4 different equations which describe exactly the same straight line. Using your points A(3,1,-0) and B(4,0,2) with the stationary vectors \vec a = \overrightarrow{OA} and \vec b = \overrightarrow{OB} you'll get:

    l: \vec r = \vec a + \lambda(\vec b - \vec a)

    l: \vec r = \vec a + \sigma( \vec a- \vec b )

    l: \vec r = \vec b + \tau(\vec b - \vec a)

    l: \vec r = \vec b + \rho( \vec a- \vec b )
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Equation of straight line
    Posted in the Algebra Forum
    Replies: 4
    Last Post: June 17th 2011, 11:30 AM
  2. Equation of a straight line
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: January 13th 2011, 05:18 AM
  3. equation of a straight line.
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 13th 2009, 01:29 PM
  4. the equation of a straight line
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: October 13th 2008, 11:56 AM
  5. Replies: 5
    Last Post: October 13th 2008, 10:16 AM

Search Tags


/mathhelpforum @mathhelpforum