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DISTANCIA ENTRE DOS PUNTOS

DISTANCIA ENTRE DOS PUNTOS. DISTANCIA ENTRE DOS PUNTOS: Teorema : La distancia entre dos puntos A ( x 1 , y 1 , z 1 ) y B ( x 2 , y 2 , z 2 ) está dada por: d ( AB ) =. z. B. z 2 – z 1 = BQ.

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DISTANCIA ENTRE DOS PUNTOS

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  1. DISTANCIA ENTRE DOS PUNTOS

  2. DISTANCIA ENTRE DOS PUNTOS: Teorema: La distancia entre dos puntos A(x1, y1, z1) y B(x2, y2, z2)está dada por: d(AB) = z B z2 – z1 = BQ Demostración: Geométricamente, esta expresión es el resultado de calcular la diagonal de una “caja” por medio del Teorema de Pitágoras A y x2 – x1 = AP P Q c2 = a2 + b2 c y2 – y1 PQ a b x

  3. DISTANCIA ENTRE DOS PUNTOS: Teorema: La distancia entre dos puntos A(x1, y1, z1) y B(x2, y2, z2)está dada por: d(AB) = z c2 = a2 + b2 B z2 – z1 = BQ A (AQ)2 = (AP)2 + (PQ)2 y x2 – x1 = AP P Q (AB)2 = (AQ)2 + (BQ)2 y2 – y1 PQ (AB)2 = (AP)2 + (PQ)2+ (BQ)2 x

  4. EJEMPLO

  5. z Encontrar la distancia entre los puntos: A(6, 2, -3) y B(-1, 4, 5) B(-1, 4, 5) y x A(6, 2, -3)

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