Title: Produit scalaire (introduction)
Course: Spécialité MATHS en classe de première

Feedback shared by this category's questions, if right: Votre réponse est correcte.
Feedback shared by this category's questions, if partly right: Votre réponse est partiellement correcte.
Feedback shared by this category's questions, if wrong: Votre réponse est incorrecte.

Q: [Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]
Feedback: [Image]
  Hint: INDICE : [Image]

Q: [Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]
Feedback: [Image]

Q: [Image]

[Image]
- -24
- 24
- -12
- 12
A: -24
Feedback: [Image]

Q: [Image]

[Image]
- 12
- 24
- 6
- -12
A: 12
Feedback: [Image]

Q: [Image]

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]
Feedback: [Image]

Q: [Image]
- [Image]
- [Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]; [Image]
Feedback: [Image]

Q: Dans un repère orthonormé, on donne les points A(-1 ; 1) ; B(6 ; 2,5) et C(-2 ; 6).
Les droites (AB) et (AC) sont-elles perpendiculaires ?

[Image]
- NON
- OUI
A: NON
Feedback: [Image]

Q: ABCD est un rectangle de longueur AB = 5 cm et de largeur AD = 4 cm.
E est un point mobile sur [CD].

Où faut-il placer le point E pour que les droites (DB) et (AE) soient perpendiculaires ?

[Image]
- Il faut placer E à 3,2 cm de D
- Il faut placer E au milieu de [CD]
- Il faut placer le point E sur le point C
- Il faut placer E à 3 cm de D
A: Il faut placer E à 3,2 cm de D
Feedback: [Image]

Q: [Image]
- [Image] | 36
- [Image] | 16
- [Image] | -36
- [Image] | 18
- [Image] | -18
Also offered: -16; 9
Feedback: [Image]
  Hint: INDICE : il faut utiliser la projection orthogonale [Image]

Q: [Image]
- [Image] | -9
- [Image] | 0
- [Image] | -8
- [Image] | 9
- [Image] | -4
Also offered: -16; 9
Feedback: [Image]
  Hint: INDICE : il faut utiliser la projection orthogonale [Image]

Q: [Image]
A: 26
Feedback: [Image]
  Hint: INDICE : Tu peux utiliser cette décomposition [Image] Il te reste quatre produits scalaires à calculer

Q: [Image]
- [Image]
- [Image]
- [Image]
- [Image] (0,8 est une valeur approchée à 0,1 près de la réponse attendue mais ce n'est pas la valeur exacte.)
A: [Image]
Feedback: [Image]
  Hint: INDICE : - Calculer les valeurs exactes de AE et AF (Pythagore) - Appliquer la formule du produit scalaire qui utilise le cosinus

Q: Exercice 1 technique :

[Image]

[Image]
[Image][...]

[Image][...]

[Image][...]

[Image][...]

[Image][...]

[Image][...]

[Image][...]

[Image][...]
A: 36; 16; -36; 0; 18; -18; -9; -8
Feedback: [Image]

Q: [Image]
 [Image][...]

[Image]
[Image][...]
A: 1; -4
Feedback: [Image]

Q: Calculer les produits scalaires suivants.

[Image]
[Image][...]

[Image][...]

[Image][...]

[Image][...]
A: 12; -12; -24; 24
Feedback: [Image]

Q: [Image]

[Image][...]

[Image][...]    (seule la valeur finale est attendue)

[Image][...]    (seule la valeur finale est attendue)
A: 12; 52; -3
Feedback: [Image]

Q: [Image]

[Image] | 1) [Image][...]

2) [Image][...] (valeur exacte décimale attendue) | 3) [Image][...]
A: [Image]; 12.5 / 12,5 / 25/2; [Image]
Partly right: gap 2 25cos(60) (70%); gap 2 25cos(60°) (70%)
Gap 1 offers: [Image]; [Image]; [Image]; [Image]
Gap 3 offers: [Image]; [Image]; [Image]; [Image]
Feedback: [Image]

Q: [Image]
[Image][...]

[Image]
[...]

[Image]
[...]

[Image]
    [Image][...]°  (valeur arrondie à 0.1° près)
A: 2.5 / 2,5 / 5/2; [Image]; [Image]; 82.8
Partly right: gap 4 83 (70%); gap 4 82.9 (70%)
Gap 2 offers: [Image]; [Image]; [Image]; [Image]
Gap 3 offers: [Image]; [Image]; [Image]; [Image]
Feedback: [Image]

Q: [Image]

[Image][...]   valeur exacte décimale attendue

[Image]
[...]
A: 0.5; NON
Gap 2 offers: OUI; NON
Feedback: [Image]

Q: [Image]
[...]

[Image]
[...]
A: [Image]; [Image]
Gap 1 offers: [Image]; [Image]; [Image]; [Image]
Gap 2 offers: [Image]; [Image]; [Image]; [Image]
Feedback: [Image]

Q: Exercice 2 guidé :

[Image]

[Image] [Image][...] [Image] | [Image]
A: 26
Feedback: [Image]

Q: Exercice 2 guidé :

[Image]
[Image]

[Image]

[Image] [Image][...]   valeur exacte attendue | [Image][...]

[Image][...]
A: 5; [Image]; [Image]
Gap 2 offers: [Image]; [Image]; [Image]
Gap 3 offers: [Image]; [Image]; [Image]
Feedback: [Image]

Q: Exercice 2 guidé :

[Image]

[...] | [Image]

[Image]
    [Image][...]°
A: [Image]; 34.7
Partly right: gap 2 34.8 (70%); gap 2 35 (60%)
Gap 1 offers: [Image]; [Image]; [Image]; [Image]
Feedback: [Image]

Q: [Image]

[Image][...]

[Image]
[...]

[Image]
[...]
A: 12; [Image]; [Image]
Gap 2 offers: [Image]; [Image]; [Image]
Gap 3 offers: [Image]; [Image]; [Image]
Feedback: [Image]

Q: Exercice 3 non guidé :

[Image]

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]
Feedback: [Image]