Unformatted text preview: the sum of the moments of the vectors v i − v i − 1 , i = 1 ,... ,n , about the origin is twice the area of the polygon. ( Hint: Compare Exercise 11 and Exercise 13 in the previous section.) 9. Consider the “prism” E bounded below by the xyplane ( z = 0), above by the plane z = 1, and on the sides by the three vertical planes x = 0 (the yzplane), y = 0 (the xzplane), and x + y = 1 (see Figure 1.56 )....
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 Fall '08
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 Calculus, Geometry, Angular Momentum, Euclidean geometry

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