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Vectors in different planes add up to give a zero resultant?

  1. May 9, 2008 #1
    1. The problem statement, all variables and given/known data

    1. three
    2. four
    vectors in different planes add up to give a zero resultant?

    2. Relevant equations

    3. The attempt at a solution

    1. Yes.
    2. Yes.

    1. suppose that we resolve the 3 vectors in i,j,k components. Putting each one of them zero in the respective three vectors to make them in 3 separate plane. Cant they be zero?
    2. similar as above. the only thing is that the fourth vector has none of its components zero.

    Am I right?
  2. jcsd
  3. May 9, 2008 #2
    pl reply me
  4. May 10, 2008 #3


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    Homework Helper

    Hi xphloem,

    For #1, were you thinking of something like this:

    \vec A &= (1,1,0)\nonumber\\
    \vec B &= (-1,0,1)\nonumber\\
    \vec C &= (0,-1,-1)\nonumber

    They definitely add to zero, but they are in a single plane, so they don't satisfy the requirements of the problem.

    For this problem: if you start with any two vectors, they define a plane. Then you want a third vector that is not in that same plane. Can those add to zero?
  5. May 12, 2008 #4
    How can all of them be in one plane
    the first on is in xy plane
    second one in xz plane
    and the third in yz plane
    am I wrong?
  6. May 12, 2008 #5
    The three (essentially only 2) vectors A, B and C together form a 'new' plane, not like the xy, xz or yz plane, but you can also have a 'crooked' plane for example. Then they are still in the same plane, even though the plane is not the xy, yz or zx plane..
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