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Plane Intersections-Answer check

  1. May 15, 2010 #1
    1. The problem statement, all variables and given/known data


    Find the equation of the plane that passes through the line of intersection of the planes x - 3y - 2z - 1 = 0 and 2x + 4y + z - 5 = 0 and parallel to the x-axis.




    2. Relevant equations



    3. The attempt at a solution

    Find the line of intersection for the two planes:
    1: 0t 3 − 2 − 1 = 0
    2: 2 + 4 + − 5 = 0
    let = (a scalar)
    0+3 − 2 − 1 = 0…(1)
    2 + 4 + − 5 = 0.….(2)
    use substitution to find the value of y from equation (1):
    0+3 − 2 − 1 = 0…………..(1)
    3= 2+ 1
    =2+13………(3)
    eliminate the variable y from the equations:
    First Multiply equation (1) by 4, and multiply equation (2) by -3:
    0+12 −8 − 4 = 0
    −6−12−3+15 = 0
    Use the elimination method:
    0+12 −8 − 4 = 0
    −6−12−3+15 = 0
    −6−11+11=0
    −6−11=−11…(4)
    −11=−11+6
    =−6/11+1
    y:
    Substitute the value of z into equation (3):
    =2+13
    =2(−6/11+1)
    =(−4−11)/11

    I am very confused by the decimal values...Does my working make sense? I would appreciate any help



    Thanks! :)
     
  2. jcsd
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