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Unformatted text preview: x y z b b b A B C igure 1.41: Oriented Triangle in R 3 A (2 , 3 , 4), B (4 , 2 , 5), and C (3 , 1 , 3); from our point of view (we are looking from moderately high in the Frst octant), the orientation appears counterclockwise. By interpreting ( A,B,C ) as a unit normal vector, we associate to an oriented triangle ABC R 3 an oriented area v A ( ABC ) = ( A,B,C ) A ( ABC ) represented by a vector normal to the triangle whose length is the ordinary area of ABC . Note that for a triangle in the xy-plane, this means...
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
- Fall '08