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(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H

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P A = (3, 0) ¡ <br />

0,<br />

(1, 2,<br />

<br />

3)<br />

£¢<br />

X = (x, y, z) ∈ P ⇐⇒ −−→<br />

AX | (1, 2, 3) = 0<br />

⇐⇒ (x − 3, y, z) | (1, 2, 3) = 0<br />

⇐⇒ (x − 3) + 2y + 3z = 0<br />

⇐⇒ x + 2y + 3z − 3 = 0<br />

<br />

<br />

(x, y, z) ∈ P ⇐⇒ (x, y, z) = (3 − 2y − 3z, y, z)<br />

⇐⇒ (x, y, z) = (3, 0, 0) + (−2y − 3z, y, z)<br />

⇐⇒ (x, y, z) = (3, 0, 0) + y(−2, 1, 0) + z(−3, 0, 1)<br />

<br />

(x, y, z) = (3, 0, 0) + λ(−2, 1, 0) + µ(−3, 0, 1), λ, µ ∈ IR<br />

¢ P<br />

<br />

¡<br />

¡ ¨ R ¢ ¡ <br />

<br />

x − 3 = z y = z − 1<br />

¢ <br />

S<br />

(1, 3) ¡ ¡ −2,<br />

<br />

R<br />

R S <br />

<br />

¢ <br />

<br />

(1, −2, 3) ¡<br />

¢<br />

<br />

3x − z = y −<br />

<br />

2<br />

¨¥ ¨ R ¢ ¡ <br />

<br />

x − 3 = z y = z − 1<br />

131

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