Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Linear Algebra (Parametric Form)

  1. Jan 25, 2010 #1
    1. The problem statement, all variables and given/known data

    L1 : x = (0, 1, 2) + s(1, 0, 2)
    L2 : x = (4, 2, c) + t(−2, 0, d)

    If c = 5 & d = 0, find the point P on L1 and Q on L2 so that the distance between P & Q is the smallest possible.


    2. Relevant equations

    the point of intersection?


    3. The attempt at a solution

    well the lines aren't parallel or identical in this case so they must intersect at some point.
     
  2. jcsd
  3. Jan 25, 2010 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    You are thinking about two dimensions. In three dimensions non parallel lines don't have to intersect.
     
  4. Jan 25, 2010 #3
    oh okayy...so then to start off would i need to find the determinant?
     
  5. Jan 25, 2010 #4
  6. Jan 26, 2010 #5
    lol yeahh i am
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook