Geometria analitica

Ttulo Exerccio_01 1) Afigura abaixo apresenta o losango EFGH inscrito no retngulo ABCD, sendo O o ponto de interseo das diagonais desse losango. Decidir se verdadeira ou Falsa cada uma das seguintes afirmaes a) EMBED Equation.3 b) EMBED Equation.3 c) EMBED Equation.3 d) EMBED Equation.3 e) EMBED Equation.3 f) EMBED Equation.3 g) EMBED Equation.3 h) EMBED Equation.3 i) EMBED Equation.3 j) EMBED Equation.3  2) Decidir se verdadeira ou falsa cada uma das afirmaes a) Se EMBED Equation.3 , ento EMBED Equation.3 . b) Se EMBED Equation.3 , ento EMBED Equation.3 . c) Se EMBED Equation.3 , ento EMBED Equation.3 . d) Se EMBED Equation.3 , ento EMBED Equation.3 . e) Se EMBED Equation.3 , ento EMBED Equation.3 . f) EMBED Equation.3 , ento EMBED Equation.3 , EMBED Equation.3 e EMBED Equation.3 so paralelos. g) Se EMBED Equation.3 , ento EMBED Equation.3 ou EMBED Equation.3 .  3) Com base na figura do exerccio 1, determinar os vetores abaixo, expressados com origem no ponto A a) EMBED Equation.3 b) EMBED Equation.3 c) EMBED Equation.3 d) EMBED Equation.3 e) EMBED Equation.3 f) EMBED Equation.3 g) EMBED Equation.3 h) EMBED Equation.3 i) EMBED Equation.3  4) O paralelogramo ABCD (fig. Abaixo) determinado pelos vetores EMBED Equation.3 e EMBED Equation.3 , sendo M e N pontos mdios dos lados DC e AB, respectivamente. Determinar a) EMBED Equation.3 b) EMBED Equation.3 c) EMBED Equation.3 d) EMBED Equation.3 e) EMBED Equation.3 f) EMBED Equation.3  5) Apresentar, graficamente, um representando do vetor EMBED Equation.3 nos casos (a)(b)(c)(d) 6) Determinar o vetor EMBED Equation.3 nas figuras abaixo. (determinar em funo de operaes com os dois outros) (a)(b)(c)(d) A B C D E F G H O A N M D C B v v v u u u u v v u v u v u v u x x x x KA kTqBu7Zx7qJu(Zs.5L)--Z13Yf_owIRbZ.vvl-AXxTVTKmJz_sf b.4 z z z z z z z z z z z z z z z z z z z z z z z z z z z z z