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curiosoperoinutil.com :: Ver Tema - Gana 730€
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Gana 730€
https://curiosoperoinutil.com/forum/viewtopic.php?f=7&t=3889
Página 1 de 1

Autor:  chemist [ Mié 25 Abr 2007, 21:56 ]
Asunto:  Gana 730€


Autor:  Dramey [ Mié 25 Abr 2007, 22:28 ]
Asunto: 


Autor:  chemist [ Mié 25 Abr 2007, 22:39 ]
Asunto: 


Autor:  kaidok [ Jue 26 Abr 2007, 11:33 ]
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Autor:  chobin [ Jue 26 Abr 2007, 14:47 ]
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Autor:  chemist [ Jue 26 Abr 2007, 19:16 ]
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Autor:  Nano [ Jue 26 Abr 2007, 21:00 ]
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Autor:  Kramer [ Jue 26 Abr 2007, 21:07 ]
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Autor:  EnderWiggin [ Jue 26 Abr 2007, 21:07 ]
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Autor:  Dramey [ Jue 26 Abr 2007, 22:56 ]
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Autor:  Kramer [ Jue 26 Abr 2007, 23:42 ]
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Autor:  el gato cuantico [ Jue 26 Abr 2007, 23:46 ]
Asunto: 


Autor:  chemist [ Jue 26 Abr 2007, 23:47 ]
Asunto: 


Autor:  Kramer [ Vie 27 Abr 2007, 01:14 ]
Asunto: 


Autor:  Dramey [ Vie 27 Abr 2007, 10:16 ]
Asunto: 


Autor:  Nano [ Vie 27 Abr 2007, 12:30 ]
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Autor:  Dramey [ Vie 27 Abr 2007, 13:19 ]
Asunto: 


Autor:  Kramer [ Vie 27 Abr 2007, 14:05 ]
Asunto: 


Autor:  Kramer [ Vie 27 Abr 2007, 14:40 ]
Asunto: 

Bueno a quien le pique la curiosidad, aquí va la respuesta (venga no seas vago y dale al coco, si sabes de sobra que eres capaz):

[SPOILER]

(i) BD ⊥ AC,
AA1 ⊥ AC,
AA1 ⊥ BD,
{AA1, AC, BD} is an orthogonal system,
so BD ⊥ every linear combination from {AA1, AC} (plane AA1C)
A1C = -AA1+AC
thus BD ⊥ A1C

(ii)
Let's define an orthonormal base:
{i=AC/4, j=BD/(2*sqrt(3)), k=EE1/sqrt(3)}

EA1 = -i + sqrt(3) * j
EC1 = 3*i + sqrt(3) * j
EA1*EC1=-3+3=0
EA1 ⊥ EC1
the angle between the 2 planes A1BD and BC1D = 90º = pi/2

(iii)

AD = i + sqrt(3) * j
BC1 = 3 * i + sqrt(3) * j + sqrt(3) * k.
AD*BC1=3+3=6 =|AD||BC1|cos(angle)
|AD|= 2
|BC1|= sqrt(sqrt(9+3)^2 + 3)=sqrt(15)
cos(angle)=3/sqrt(15)=sqrt(0.6)
angle = arccos(sqrt(0.6))= 39,23º



[SPOILER OFF]

Autor:  Petisuis [ Vie 27 Abr 2007, 14:43 ]
Asunto: 

De todos modos, una pregunta ¿Para quién va dirigido el reto? Imagino que para Bachilleres, ¿no?

Autor:  Kramer [ Vie 27 Abr 2007, 15:16 ]
Asunto: 


Autor:  Dramey [ Vie 27 Abr 2007, 15:41 ]
Asunto: 

yo no tengo a mano lo que me daba...pero no me daba lo mismo que a krammer

Esto viene a decir que AL MENOS uno está equivocado...y eso que somos un par de buenos frikis ^^

Autor:  Kramer [ Vie 27 Abr 2007, 16:04 ]
Asunto: 


Autor:  SrLobo [ Vie 27 Abr 2007, 16:08 ]
Asunto: 


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