vecteurs 3b
1.
AD +
DF = 2.
CB +
CA = 3.
DF –
FG = 4.
AB –
AC =
5.
RS +
AR = 6.
EG +
GT = 7.
AL –
LA = 8. –
AD –
DB =
EXERCICE 3B.2 Ecrire plus simplement les vecteurs suivants, en utilisant la relation de Chasles :
u =
AB +
BC +
CA
v =
…afficher plus de contenu…
DF –
FG = DF ⃗⃗ ⃗⃗ ⃗⃗ ⃗+ GF ⃗⃗⃗⃗⃗⃗ ⃗ 4.
AB –
AC = CB ⃗⃗⃗⃗ ⃗⃗ ⃗
5.
RS +
AR = AS ⃗⃗⃗⃗ ⃗⃗ ⃗⃗ 6.
EG +
GT = ET ⃗⃗⃗⃗ ⃗⃗ ⃗ 7.
AL –
LA =
AL +
AL 8. –
AD –
DB = BA ⃗⃗ ⃗⃗ ⃗⃗ ⃗ EXERCICE 3B.2 : Ecrire plus simplement les vecteurs suivants, en utilisant la relation de Chasles :
u =
AB +
BC +
CA u ⃗⃗⃗⃗ = AA ⃗⃗ ⃗⃗ ⃗⃗ ⃗ = 0 ⃗⃗⃗⃗ v =
IJ +
KI +
JK v ⃗⃗ ⃗ = KI ⃗⃗⃗⃗⃗⃗ + IJ ⃗⃗⃗⃗ + JK ⃗⃗⃗⃗⃗⃗ v ⃗⃗ ⃗ = KK ⃗⃗ ⃗⃗ ⃗⃗ ⃗ = O ⃗⃗ ⃗⃗
w =
AB +
AC +
BC
w =
AB +
BC +
AC
w =
AC +
AC = 2
AC
x =
DE +
FG +
EF +
DG
x =
DE +
EF +
FG +
DG
x =
DG +
DG = 2
…afficher plus de contenu…
AB =
AE + EB ⃗⃗ ⃗⃗ ⃗⃗ ⃗ 2.
IJ =
IL + LJ ⃗⃗ ⃗⃗ ⃗ 3.
RT = RA ⃗⃗ ⃗⃗ ⃗⃗ ⃗ +
AT
4.
SD =
TD + ST ⃗⃗ ⃗⃗ ⃗⃗ 5.
RE = SE ⃗⃗ ⃗⃗ ⃗⃗ +
RS 6.
CD = CK ⃗⃗ ⃗⃗ ⃗⃗ ⃗ +
KL + LD ⃗⃗ ⃗⃗ ⃗⃗ ⃗
7.
FA = CA ⃗⃗ ⃗⃗ ⃗⃗ ⃗ +
FG + GC ⃗⃗⃗⃗ ⃗⃗ ⃗ 8.
AT =
AB +
RT +
BS + SR ⃗⃗⃗⃗⃗⃗ ⃗ 9.
AB = AJ ⃗⃗⃗⃗⃗⃗ +
JK + KB ⃗⃗ ⃗⃗ ⃗⃗