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W =U + V

y. O. x. V. U. y. O. x. V. V. U. W =U + V. Somme de deux vecteurs W = U + V. y. O. x. V. -V. U. W=U-V. U. Soustraction de deux vecteurs W = U - V. y. O. x. U. U. W = 3 U. U. Multiplication W = K U avec K > 0, K = 3. y. O. x. V. -V. -V. W = -2 V.

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W =U + V

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  1. y O x V U

  2. y O x V V U W =U + V Somme de deux vecteurs W = U + V

  3. y O x V -V U W=U-V U Soustraction de deux vecteurs W = U - V

  4. y O x U U W = 3 U U Multiplication W = K U avec K > 0, K = 3

  5. y O x V -V -V W = -2 V Multiplication W = K V avec K < 0, K = -2

  6. y O x V W -3V U W T = 2U + W – 3V 2U Construire T = 2U + W – 3V

  7. C CD y 12 11 D 10 9 8 7 B 6 AB 5 4 A 3 2 1 1 2 3 4 5 6 O x Coordonnées de vecteurs AB (xb-xa; yb-ya) AB (4-2; 6-4) AB (2; 2) CD (xd-xc; yd-yc) CD (6-3; 11-12) AB CD (3; -1 ) -1 CD

  8. y O x Coordonnées de vecteurs Écriture de la forme C i i i 12 U = x i + y j -j 11 D CD 10 AB (2; 2) 9 AB = 2 i + 2 j 8 7 B 6 AB j CD (3; -1 ) 5 j 4 CD = 3 i - j A i i 3 2 1 j i 1 2 3 4 5 6 -1

  9. AB + CD AB + CD AB + CD AB + CD C CD y 12 11 D 10 9 8 7 B 6 AB 5 4 A 3 2 1 1 2 3 4 5 6 O x Somme de vecteurs Xab + Xcd Yab + Ycd AB (2; 2) CD (3; -1) 2 + 3 2 + (-1) (5; 1) CD AB -1

  10. y O x Multiplication de vecteurs K × Xab 12 U = k AB K × Yab 11 10 Exemple 9 AB (2; 2) 8 2 × 2 7 B U = 2 AB 6 AB 2 × 2 5 4 A 3 U (4; 4) 2 U 1 1 2 3 4 5 6 -1

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