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Determining wheter point lie on line

  1. Oct 13, 2012 #1
    Hi all,

    How do I go about solving the following question?

    Determine whether the points (5 , -6 , 10) and (3, 3 , 8) are on the line
    x = 2 + t; y = 3 - 3t, z = 4 + 2t

    Stephen
     
  2. jcsd
  3. Oct 13, 2012 #2
    Just find out whether there exists a value [itex]\,t\in\Bbb R\,[/itex] s.t. [itex]\,(5,-6,10)=(2+t,3-3t,4+2t)\,[/itex] , and the same with the other vector...

    DonAntonio
     
  4. Oct 13, 2012 #3
    Hi Don,

    If I'm correct, the parametric equation for the following points is:

    x = -2t + 5, y = -9t - 6 and z = -2t + 10

    So no values are matching this parametric
    x = 2 + t; y = 3 - 3t, z = 4 + 2t.

    So therefore it does not lie on the line right?
     
  5. Oct 13, 2012 #4
    What is "the following point"? The point is given to you: (5,-6,10), period. You only have to solve the easy vectorial equation I wrote in my first post.

    DonAntonio
     
  6. Oct 13, 2012 #5
    Thanks Don i do get what u saying
     
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