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Math Help - The intersection between two lines

  1. #1
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    The intersection between two lines

    Hi all, another vector related problem; I have two vectors x = s(1,2,1) and x = r(-6,2,2). I know they are orthogonal because their dot product is 0. But when i equate their components. i get s = -6r, 2s = 2r and s = 2r. Cannot figure out how to solve that one, should i have atleast one equation that does not contain on of the two variables? Thanks.

    EDIT:
    The only value of r and s that i can see satisfies both equations is 0.
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  2. #2
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    Quote Originally Posted by Oiler View Post
    Hi all, another vector related problem; I have two vectors x = s(1,2,1) and x = r(-6,2,2). I know they are orthogonal because their dot product is 0. But when i equate their components. i get s = -6r, 2s = 2r and s = 2r. Cannot figure out how to solve that one, should i have atleast one equation that does not contain on of the two variables? Thanks.

    EDIT:
    The only value of r and s that i can see satisfies both equations is 0.
    Can you type out the question you verbatim?

    I don't exactly understand what you are trying to accomplish.
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  3. #3
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    hi dwsmith, the question is not out of the book. I was playing around with graphing software and wanted to find the intersection of those two vectors. Thanks for your constant help.
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    Quote Originally Posted by Oiler View Post
    hi dwsmith, the question is not out of the book. I was playing around with graphing software and wanted to find the intersection of those two vectors. Thanks for your constant help.
    Are r and s scalars? If so, are they positive or negative?
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  5. #5
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    sorry wasn't clear, its two lines in vector form, in 3-space. x1 = s(1,2,1) and x2 = r(-6,2,2). I get them into parametric form and equate them. Just not sure on how to solve for x,y,z.
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