Math Problem Statement

Soit A(-4; 1) et B(5; 0) deux points dans un repère du plan. Calculer les coordonnées des points M et N tels que : a. 3AM + 2BM = 0 b. -3BN + 2AB = 2NA

Solution

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Math Problem Analysis

Mathematical Concepts

Vector equations
Coordinate geometry

Formulas

Vector addition and scaling: kAB = k(B - A)
Solving linear equations to find coordinates

Theorems

Midpoint theorem (in vector geometry)
Properties of vector addition and scalar multiplication

Suitable Grade Level

Grades 10-12

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