
Quiz de Géométrie dans l'Espace
Quiz
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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17 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Comment se calcule le produit scalaire de deux vecteurs u et v?
u·v = u - v
u·v = u + v
u·v = |u| * |v| * cos(θ)
u·v = |u| + |v|
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Quand deux vecteurs u et v sont-ils orthogonaux?
u·v = 2
u·v = -1
u·v = 0
u·v = 1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Quelle est l'expression analytique du produit scalaire de deux vecteurs u et v?
u·v = x - y + z
u·v = xx' + yy' + zz'
u·v = x + y + z
u·v = x * y * z
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Comment se calcule la norme d'un vecteur u?
∥u∥ = √(x^2 + y^2 + z^2)
∥u∥ = x + y + z
∥u∥ = |x| + |y| + |z|
∥u∥ = x^2 + y^2 + z^2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Quelle est la formule pour la distance entre deux points A et B dans l'espace?
AB = (xB + xA) + (yB + yA) + (zB + zA)
AB = √((xB - xA)^2 + (yB - yA)^2 + (zB - zA)^2)
AB = (xB - xA) + (yB - yA) + (zB - zA)
AB = |xB - xA| + |yB - yA| + |zB - zA|
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Quelle est l'équation d'un plan passant par un point A et ayant un vecteur normal n?
ax + by + cz - d = 0
ax + by + cz + d = 1
ax + by + cz = 0
ax + by + cz + d = 0
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Comment se définit un vecteur normal à un plan?
Il est orthogonal à tous les vecteurs du plan.
Il est colinéaire à tous les vecteurs du plan.
Il est perpendiculaire à tous les vecteurs du plan.
Il est parallèle à tous les vecteurs du plan.
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