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Calculating area of a parallelogram defined by 2 vectors

  1. Oct 16, 2012 #1
    1. The problem statement, all variables and given/known data

    "Find the area of a parallelogram defined by the two vectors P=(4,-10,3) and Q=(2,1,0)"

    2. Relevant equations

    The area of the parallelogram is equal to the magnitude of the cross product of the two vectors? i.e. Area = |PXQ|

    3. The attempt at a solution

    PXQ = (-10x0-3x1)-(4x0-3x2)-(4x1-(-10)x2)=-3-(-6)-(-16)=25

    -> area of parallelogram = 25(?)
     
  2. jcsd
  3. Oct 16, 2012 #2

    ehild

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    Homework Helper
    Gold Member

    That is right.

    The cross product is a vector - you wrote a scalar. Check how to calculate a vector product.

    ehild
     
  4. Oct 16, 2012 #3
    so I should have = 3i - 6j + 24k?

    I can't see how to get an area from the vectors.
     
  5. Oct 16, 2012 #4

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    The formula you wrote was "Area = |PXQ|". What does the | | mean?
     
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