Unformatted text preview: ] . (HINT: This is done on pages 1093–1094.) 17.4b. Note that if C is the line segment connecting the point ( a, b ) to the point ( c, d ) then, ± C x dy-y dx = ad-bc. Show (using Green’s theorem) that if ( a, b ) , ( c, d ) , and ( e, f ) are the vertices of a triangle, then the area of the triangle is given by the formula 1 / 2[( ad-cb ) + ( cf-ed ) + ( eb-af )] . 17.4c. Generalize the above problem by doing Problem 21 of § 17.4 in Stewart’s Multivariable Calculus ....
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- Winter '08
- Multivariable Calculus, simple closed curve, book Multivariable Calculus