Math Problem Statement

explain where they values are dervied from:

Solution

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Math Problem Analysis

Mathematical Concepts

Vectors
Dot Product
Angles between Lines

Formulas

Cosine of angle between vectors: cos(θ) = (d1 · d2) / (|d1| |d2|)
Magnitude of vector: |d| = √(x^2 + y^2 + z^2)

Theorems

Dot product properties

Suitable Grade Level

Grades 11-12