Complement Mathematique Flashcards

1
Q

Définition d’un vecteur

A

Une direction, un sens, une intensité (= sa norme)

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2
Q

Relation de Chasles

A

A = xi + yj + zk

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3
Q

Addition de 2 vecteurs

A

A+B = (x+x’)i + (y+y’)j + (z+z’)k

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4
Q

Multiplication du vecteur par un réel

A

c*A = c xi + c yj + c zk

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5
Q

Produit scalaire

A

A.B = x.x’ + y.y’ + z.z’

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6
Q

Norme d’un vecteur

A

||A||^2 = A.A = x^2 + y^2 + z^2

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7
Q

Notation différentielle : comment se calcul dy et quel est l’ordre ?

A

dy = y’(x0) dx
Il s’agit d’un calcul à l’ordre 1

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