How to find a vector parallel to a line?

  1. How do I find the vector parallel to the line x+2 = 1/2y = z-3 ?

    the book says its < 1,2,1 > but I have no idea how to get there?
     
  2. jcsd
  3. tiny-tim

    tiny-tim 26,041
    Science Advisor
    Homework Helper

    Hi r_swayze! :smile:

    Just go for the obvious …

    that line is parallel to the line x = 1/2y = z, from which it's pretty obvious that if you increase x by 1, the you increase y by 2, and z by 1 :wink:
     
  4. oh I think I see now, so the +2 and -3 from the x and z equations are just telling the shift in position?
     
  5. tiny-tim

    tiny-tim 26,041
    Science Advisor
    Homework Helper

    Yup! :biggrin:
     
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