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Find the Area of the Parallelogram

  1. Feb 13, 2012 #1
    1. The problem statement, all variables and given/known data
    Find the area of the paralellogram with vertices P1, P2, P3, and P4. *Not all pairs of vertices will give rise to a side.

    P1 = (1, 2, -1)
    P2 = (4, 2, -3)
    P3 = (6, -5, 2)
    P4 = (9, -5, 0)

    2. Relevant equations
    ||U X V || is the area of the parallelogram having U≠0 and V≠0 as adjacent sides.


    3. The attempt at a solution

    How do you know which set of points will create a vector that are adjacent to each other?
     
  2. jcsd
  3. Feb 14, 2012 #2

    HallsofIvy

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    You are told that this is a parallelogram- opposite sides must be parallel to one another.
     
  4. Feb 14, 2012 #3

    LCKurtz

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    And usually such problems give the points going around the object. So if it is a parallelogram and the points aren't mixed up, you might expect ##P_1P_2## and ##P_3P_4##to be opposite sides. Of course, you would have to check to see if those two sides are parallel to see if that is true...
     
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