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Homework Help: Determine a vector perpendicular to the plane

  1. May 4, 2009 #1
    1. The problem statement, all variables and given/known data
    this problem has 2 parts

    a- Determine a vector perpendicular to the plane containing the points 1,0,0 2,0,-1 1,4,3
    b - determine the area of the triangle

    2. Relevant equations

    3. The attempt at a solution

    a- i found the two vectors from the 1st point a = i - k, b = 4j + 3k
    and i belive a X b would yield a perpindicular vector
    a X b = 4i - 3j + 4k, is this correct

    b - isnt the area of the triangle 1/2 the magnitude of the perpindicular vecor

    .5(4^2 + 3^2 + 4^2)^1/2 = 3.201 is this correct

    b - i dont really understand what the question is asking

    c - center is (4,-1,-3)
    r = (-1 + (8^2 + 2^2 + 6^2)/4)^1/2 = 5 is this correct
  2. jcsd
  3. May 4, 2009 #2


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    Homework Helper
    Gold Member

    Re: Vectors

    Your answers to a and b are correct. What is the question for c?
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