1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
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