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Equation of vector pass thru point

  1. May 27, 2014 #1
    1. The problem statement, all variables and given/known data


    can someone draw me a better diagram for part c and d ? i cant understand the diagram given . This is the suggested ans form my book


    2. Relevant equations



    3. The attempt at a solution
     

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  2. jcsd
  3. May 27, 2014 #2

    ehild

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    Here you are. A is outside both planes. P is point of the intersection line l

    ehild
     

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  4. May 27, 2014 #3
    how do u know that point a is located outside? why point a cant be on the plane?
     
  5. May 27, 2014 #4

    ehild

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    Plug in the coordinates of A into the equations of both planes. Does it fit?

    ehild
     
  6. May 27, 2014 #5
    ya , the ans is correct . why? i cant understand
     
  7. May 27, 2014 #6

    ehild

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    A: x=1, y=0, z=1. A is in the plane π1 if its coordinates fulfil the equation of the plane.

    Plane π1: x-y+2z=1. Plugging in he coordinates of A: 1-0+2 =3≠1
    Plane π2: 2x+y-z=0. Plugging in he coordinates of A: 2-1=1≠0

    A is not point of any of the planes.

    ehild
     
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