Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Vectors
Magnitude of Vectors
Unit Vectors
Vector Addition and Subtraction
Cosine Rule

Formulas

|a + b| = sqrt(2 + 2*cos(theta))
|a - b| = sqrt(2 - 2*cos(theta))
Expression: (3/2) * |a+b| + 2 * |a-b|

Theorems

Cosine Law for Vectors
Trigonometric Identity for Vector Addition/Subtraction

Suitable Grade Level

Grades 10-12