Results 1 to 3 of 3

Math Help - vectors

  1. #1
    ligekron
    Guest

    vectors

    please explain:

    collinearity

    proving collinearity

    for the high school level
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member OReilly's Avatar
    Joined
    Mar 2006
    Posts
    340
    Quote Originally Posted by ligekron
    please explain:

    collinearity

    proving collinearity

    for the high school level
    Collinearity is refering to position of points in line.

    Given points are collinear if line contains all of them. If line doesn't contain all of them then they are non-collinear.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,911
    Thanks
    775
    Hello, ligekron!

    Please explain: (1) Collinearity, (2) Proving collinearity
    for the high school level

    Since your heading says "Vectors", I assume a vector approach is in order.

    Three points A,\,B,\,C are collinear (lie on a straight line)
    if any two of their vectors \{\overrightarrow{AB},\;\overrightarrow{BC},\; \overrightarrow{AC}\} are scalar multiples of each other.


    \text{Example: }\;A(2,3),\;B(3,5),\;C(5,9)

    \text{Let }\vec{u} \:=\:\overrightarrow{AB} \:= \:\langle 3,5\rangle - \langle 2,3\rangle \:=\:\langle 1,2\rangle

    \text{Let }\vec{v}\:=\:\overrightarrow{BC} \:=\:\langle 5,9\rangle - \langle 3,5\rangle \:=\:\langle 2,4\rangle

    \text{Since }\vec{v} = 2\vec{u}\text{, points }A,\;B,\,C\text{ are collinear.}

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: November 15th 2011, 06:10 PM
  2. Replies: 3
    Last Post: June 30th 2011, 09:05 PM
  3. Replies: 2
    Last Post: June 18th 2011, 11:31 AM
  4. [SOLVED] Vectors: Finding coefficients to scalars with given vectors.
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: January 23rd 2011, 01:47 AM
  5. Replies: 4
    Last Post: May 10th 2009, 07:03 PM

Search Tags


/mathhelpforum @mathhelpforum