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[SPAM] [obm-l] Dúvida na resolução de questões de Geometria Analítica

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Subject: [SPAM] [obm-l] Dúvida na resolução de questões de Geometria Analítica
From: "Rubens Kamimura" <rubens.kamimura@xxxxxxxxxxx>
Date: Tue, 20 Nov 2007 08:22:03 -0200
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In-reply-to: <3bd00efc0711191249q13e27231w41bf77810910d39c@xxxxxxxxxxxxxx>
Organization: CESP - OMPTD
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Ol=C3=A1 queridos colegas;

=20

1.       Bom dia;

=20

2.       Este =C3=A9 o meu primeiro contato com voc=C3=AAs, minhas =
d=C3=BAvidas segue abaixo:

=20

Caso I: Quando tenho os pontos A(1,-2,2) e B(-3,1,-2) e =C3=A9 =
perpendicular ao plano =CF=80: 2x + y =E2=80=93 z + 8 =3D0 (resposta =
=C3=A9: x-12y-10z-5=3D0), como fa=C3=A7o?

Caso II: E quando o plano cont=C3=A9m o ponto A(4,1,0) e =C3=A9 =
perpendicular aos planos =CF=801: 2x =E2=80=93 y =E2=80=93 4z -6 =3D 0 e =
=CF=802: x + y + 2z =E2=80=93 3 =3D 0 (resposta =C3=A9: 2x-8y+3z=3D0), =
como fa=C3=A7o?

Caso III: E no caso quando temos duas retas r: y=3D2x-3 e z=3D-x+2 e s: =
((x-1)/3)=3D((z-1)/5) e y=3D-1 (resposta =C3=A9: 5x-4y-3z-6=3D0), como =
fa=C3=A7o?

=20

3.       Agrade=C3=A7o a aten=C3=A7=C3=A3o.

=20

Sauda=C3=A7=C3=B5es Fraternais

=20

=20

Rubens Kamimura=20

Assistente T=C3=A9cnico III - CREA/SP 5062246285

CESP - Companhia Energ=C3=A9tica de S=C3=A3o Paulo

OMPTD - Capacita=C3=A7=C3=A3o e Desenvolvimento

Caixa Postal, 58 - CEP 15385-000

Ilha Solteira/SP - Brasil

Tel. +55-18-3704-4240 ramal 136/137

Tel./Fax +55-18-3704-6800

www.cesp.com.br

Mens In Corpore Tantun Molen Regit

ANTES DE IMPRIMIR, PENSE NA SUA RESPONSABILIDADE COM O MEIO AMBIENTE!

=20

=20


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<div class=3DSection1>

<p class=3DMsoNormal><b><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Ol=C3=A1 queridos colegas;<o:p></o:p></span></b></p>

<p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'><o:p>&nbsp;</o:p></span></p>

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level1 lfo1'><![if !supportLists]><span
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497=
D'><span
style=3D'mso-list:Ignore'>1.<span style=3D'font:7.0pt "Times New =
Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Bom dia;<o:p></o:p></span></p>

<p class=3DMsoListParagraph><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'><o:p>&nbsp;</o:p></span></p>

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level1 lfo1'><![if !supportLists]><span
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497=
D'><span
style=3D'mso-list:Ignore'>2.<span style=3D'font:7.0pt "Times New =
Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Este =C3=A9 o meu primeiro contato com voc=C3=AAs, minhas =
d=C3=BAvidas segue
abaixo:<o:p></o:p></span></p>

<p class=3DMsoListParagraph><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoListParagraph><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Caso I: </span><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif"'>Quando
tenho os pontos A(1,-2,2) e B(-3,1,-2) e =C3=A9 perpendicular ao plano =
=CF=80: 2x +
y =E2=80=93 z + 8 =3D0 (resposta =C3=A9: x-12y-10z-5=3D0), como =
fa=C3=A7o?<o:p></o:p></span></p>

<p class=3DMsoListParagraph><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Caso II: </span><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif"'>E
quando o plano cont=C3=A9m o ponto A(4,1,0) e =C3=A9 perpendicular aos =
planos =CF=801: 2x
=E2=80=93 y =E2=80=93 4z -6 =3D 0 e =CF=802: x + y + 2z =E2=80=93 3 =3D =
0 (resposta =C3=A9: 2x-8y+3z=3D0), como
fa=C3=A7o?<o:p></o:p></span></p>

<p class=3DMsoListParagraph><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Caso III: </span><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif"'>E
no caso quando temos duas retas r: y=3D2x-3 e z=3D-x+2 e s: =
((x-1)/3)=3D((z-1)/5) e
y=3D-1 (resposta =C3=A9: 5x-4y-3z-6=3D0), como =
fa=C3=A7o?<o:p></o:p></span></p>

<p class=3DMsoListParagraph><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif"'><o:p>&nbsp;=
</o:p></span></p>

<p class=3DMsoListParagraph style=3D'text-indent:-18.0pt;mso-list:l0 =
level1 lfo1'><![if !supportLists]><span
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497=
D'><span
style=3D'mso-list:Ignore'>3.<span style=3D'font:7.0pt "Times New =
Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Agrade=C3=A7o a aten=C3=A7=C3=A3o.<o:p></o:p></span></p>

<p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Sauda=C3=A7=C3=B5es Fraternais<o:p></o:p></span></p>

<p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><b><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Rubens Kamimura <o:p></o:p></span></b></p>

<p class=3DMsoNormal><span =
style=3D'font-size:8.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Assistente T=C3=A9cnico III - CREA/SP =
5062246285<o:p></o:p></span></p>

<p class=3DMsoNormal><span =
style=3D'font-size:8.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>CESP - Companhia Energ=C3=A9tica de S=C3=A3o =
Paulo<o:p></o:p></span></p>

<p class=3DMsoNormal><span =
style=3D'font-size:8.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>OMPTD - Capacita=C3=A7=C3=A3o e =
Desenvolvimento<o:p></o:p></span></p>

<p class=3DMsoNormal><span =
style=3D'font-size:8.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Caixa Postal, 58 - CEP 15385-000<o:p></o:p></span></p>

<p class=3DMsoNormal><span =
style=3D'font-size:8.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Ilha Solteira/SP - Brasil<o:p></o:p></span></p>

<p class=3DMsoNormal><span =
style=3D'font-size:8.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Tel. +55-18-3704-4240 ramal 136/137<o:p></o:p></span></p>

<p class=3DMsoNormal><span lang=3DEN-US =
style=3D'font-size:8.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Tel./Fax +55-18-3704-6800<o:p></o:p></span></p>

<p class=3DMsoNormal><span lang=3DEN-US =
style=3D'font-size:8.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>www.cesp.com.br<o:p></o:p></span></p>

<p class=3DMsoNormal><b><span lang=3DEN-US =
style=3D'font-size:8.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>Mens In Corpore Tantun Molen Regit</span></b><b><span
lang=3DEN-US =
style=3D'font-size:8.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'><o:p></o:p></span></b></p>

<p class=3DMsoNormal><b><span =
style=3D'font-size:8.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'>ANTES DE IMPRIMIR, PENSE NA SUA RESPONSABILIDADE COM O =
MEIO
AMBIENTE!</span></b><b><span =
style=3D'font-size:8.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'><o:p></o:p></span></b></p>

<p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D'><o:p>&nbsp;</o:p></span></p>

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