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!

Find parametric equations given point and two planes

  1. Feb 8, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the parametric equations through point (5,-1,3) parallel to the line of intersection between 2x-y+z=1 and 6x-y-z=3, where 0≤t≤1

    2. Relevant equations
    1. Find normal vectors for both planes
    2. Take cross product of both normal planes
    ...


    3. The attempt at a solution
    normal to plane 1 is <2,-1,1>
    normal to plane 2 is <6,-1,-1>

    cross product to both normal vectors is (1+1)i-(-2+6)j+(-2+6)k
    =2i-4j+4k=<2,-4,4>

    I wasn't sure how to input the point or if I am on the right track?
     
  2. jcsd
  3. Feb 8, 2012 #2

    vela

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    You're on the right track. What do the parametric equations for a line generally look like?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook