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(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H

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x − 2 = y − 1 z = 0<br />

P = A + 〈 −→<br />

AB, −→<br />

AC〉 = (2, 1, 0) + 〈(1, 1, 0), (0, 1, 1)〉<br />

P A B C<br />

<br />

<br />

¢ P ¡<br />

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

AX = (x−2, y−1, z) −→<br />

¢ ¢ X = (x, y, z) P<br />

£¢ −−→<br />

<br />

−→<br />

AC ¢ <br />

<br />

AB<br />

(x, y, z) ∈ P ⇐⇒<br />

<br />

<br />

<br />

<br />

<br />

x − 2 y − 1 z<br />

1 1 0<br />

0 1 1<br />

£¢<br />

<br />

<br />

<br />

= 0<br />

<br />

⇐⇒ (x − 2) − (y − 1) + z = 0<br />

⇐⇒ x − y + z − 1 = 0<br />

157

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