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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 xy-plane ( z = 0), above by the plane z = 1, and on the sides by the three vertical planes x = 0 (the yz-plane), y = 0 (the xz-plane), and x + y = 1 (see Figure 1.56 )....
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- Fall '08