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Math Help - Determining where the line intersects the YZ Plane.

  1. #1
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    Determining where the line intersects the YZ Plane.

    Okay so in this problem I had to find the equations of a line given a point and a vector.

    The point is (1,5,2) parallel to the vector<4,3,7>

    so i got this parametric equation:
    x-1/4 =y-5/3=z-2/7

    I set x = 0 and I'm not really sure what to do from here to find the YZ plane intersection. I have the answer, but i think I maybe doing the algebra wrong.

    (0,17/4,1/4)

    After setting the x=0 I can't arrive to these points. Can someone help explain this to me? This is the first thing in Calc III I'm having any difficulty with, everything else has been easy.
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  2. #2
    Super Member General's Avatar
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    How in earth the point can be parallel to a vector ?
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  3. #3
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    Quote Originally Posted by General View Post
    How in earth the point can be parallel to a vector ?
    I'm not sure haha, but it's just a problem in my book that I'm trying to fully understand.
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