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Linear algebra

  1. Mar 25, 2010 #1
    1. The problem statement, all variables and given/known data

    b. Let A be a 2 by 3 matrix whose rows, v1 and v2 are nonzero, nonparallel vectors in R3. Why is any nonzero vector x that satisfies the equation Ax = 0 a normal vector for the plane spanned by the vectors v1 and v2? Explain your response.

    2. Relevant equations



    3. The attempt at a solution
    I have no idea where to begin. Please help.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 25, 2010 #2

    LCKurtz

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    Hint: If you call the row vectors of the matrix C and D, What does Ax = 0 tell you about the dot product of C and D with x?
     
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