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Produit scalaire de vecteurs

Authored by Emmanuelle Arroyo

Mathematics

12th Grade

Used 2+ times

Produit scalaire de vecteurs
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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Definition: u→ . v→ =\overrightarrow{u}\ .\ \overrightarrow{v}\ =

u→ . v→ . cos⁡(u→ , v→)\overrightarrow{u}\ .\ \overrightarrow{v}\ .\ \cos\left(\overrightarrow{u}\ ,\ \overrightarrow{v}\right)

∥u→ ∥×∥ v→ ∥×cos⁡(u→ , v→)\parallel\overrightarrow{u}\ \parallel\times\parallel\ \overrightarrow{v}\ \parallel\times\cos\left(\overrightarrow{u}\ ,\ \overrightarrow{v}\right)

∥u→ ∥×∥ v→ ∥×sin⁡(u→ , v→)\parallel\overrightarrow{u}\ \parallel\times\parallel\ \overrightarrow{v}\ \parallel\times\sin\left(\overrightarrow{u}\ ,\ \overrightarrow{v}\right)

∥u→ ∥+∥ v→ ∥+cos⁡(u→ , v→)\parallel\overrightarrow{u}\ \parallel+\parallel\ \overrightarrow{v}\ \parallel+\cos\left(\overrightarrow{u}\ ,\ \overrightarrow{v}\right)

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Definition: u→ . v→ =\overrightarrow{u}\ .\ \overrightarrow{v}\ =

xx′+yy′xx'+yy'

xx′−yy′xx'-yy'

xy′+yx′xy'+yx'

xx′×yy′xx'\times yy'

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Definition:

si u→ . v→ =0\overrightarrow{u}\ .\ \overrightarrow{v}\ =0 , alors :

u→  et  v→ sont colineaires\overrightarrow{u}\ \ et\ \ \overrightarrow{v}\ sont\ colineaires

u→  et  v→ sont orthogonaux\overrightarrow{u}\ \ et\ \ \overrightarrow{v}\ sont\ orthogonaux

u→  et  v→ sont opposeˊs\overrightarrow{u}\ \ et\ \ \overrightarrow{v}\ sont\ opposés

u→  et  v→ sont les me^mes vecteurs\overrightarrow{u}\ \ et\ \ \overrightarrow{v}\ sont\ les\ mêmes\ vecteurs

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Definition:

u→ . u→ =\overrightarrow{u}\ .\ \overrightarrow{u}\ =

00

∥ u→ ∥\parallel\ \overrightarrow{u}\ \parallel

∥ u→ ∥2\parallel\ \overrightarrow{u}\ \parallel^2

−u→ -\overrightarrow{u}\

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

AB→ . AC→ =\overrightarrow{AB}\ .\ \overrightarrow{AC}\ =

AH→ . HB→ \overrightarrow{AH}\ .\ \overrightarrow{HB}\

AB→ . AH→ \overrightarrow{AB}\ .\ \overrightarrow{AH}\

00

AB→ . C→H \overrightarrow{AB}\ .\ \overrightarrow{C}H\

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

AB→ . CH→ =\overrightarrow{AB}\ .\ \overrightarrow{CH}\ =

AH→ . HB→ \overrightarrow{AH}\ .\ \overrightarrow{HB}\

AB→ . AH→ \overrightarrow{AB}\ .\ \overrightarrow{AH}\

00

AB→ . AC→\overrightarrow{AB}\ .\ \overrightarrow{AC}

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

ABCDABCD est un rectangle. AD→ . CD→=\overrightarrow{AD}\ .\ \overrightarrow{CD}=  

00  

33  

55  

1515  

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