Propriétés Flashcards

1
Q

Existe un seul vecteur tel que v = AB

A

A1

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2
Q

Si AB= AC, alors B= C

A

A2

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3
Q

Si AB= CB, alors A=C

A

A3

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4
Q

AB + BC = AC

A

A4/ Relation de Charles

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5
Q

AA= 0

A

A5

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6
Q

BA= -AB

A

A6

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7
Q

Si AB=CD, alors AC=BD (parallélogramme)

A

A7

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8
Q

u+v = v+u

A

V1 (commutativité)

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9
Q

u+(v+w) = (u+v) + w

A

V2 (associativité)

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10
Q

u+0 = u

A

V3 (neutre)

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11
Q

u+(-u) =0

A

V4 (opposé)

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12
Q

1u = u

A

V5 (neutre)

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13
Q

k(u+v) = ku + kv

A

V6 (distributivité)

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14
Q

(k+r)u = ku + ru

A

V7 (distributivité)

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15
Q

(rs)u = r(su)

A

V8 (associativité)

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16
Q

uv = vu

A

PS1 commutativité

17
Q

(ku)v = k(uv)

A

PS2 associativité

18
Q

u* (v+w)= uv + uw

A

PS3

19
Q

u*u = || u ||^2

A

PS4

20
Q

u= (a,b) alors uperpendiculaire= (-b,a)

A

Propriété 6