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Area of a parallelogram with vectors

  1. Apr 8, 2009 #1
    1. The problem statement, all variables and given/known data
    Determine the area of the parallelogram spanned by the vectors
    < 0, 9, 6 > and < −10, −6, −4 >


    2. Relevant equations
    Area = A X B

    The cross product of < 0, 9, 6 > and < −10, −6, −4 > = 0i - 60j + 90k

    3. The attempt at a solution

    I know the area is the cross product of A X B, but the examples that I have done did not have a k value. ex <3,-3,0> X <2,3,0> What do I do now that I have a k value?
     
  2. jcsd
  3. Apr 8, 2009 #2

    Dick

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    Area is a real number. Not a vector. It's |AxB|. You need to find the length of the cross product vector.
     
  4. Apr 8, 2009 #3
    Thank you, I got it.
     
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