Find the Area of the Parallelogram

  • Thread starter Lurid
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  • #1
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Homework Statement


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)

Homework Equations


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


The Attempt at a Solution



How do you know which set of points will create a vector that are adjacent to each other?
 

Answers and Replies

  • #2
HallsofIvy
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You are told that this is a parallelogram- opposite sides must be parallel to one another.
 
  • #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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