Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Vector Algebra
Cross Product
Orthogonality

Formulas

Cross product formula: u × v = |i j k| |u1 u2 u3| |v1 v2 v3|
Orthogonality check using dot product: u · (u × v) = 0 and v · (u × v) = 0

Theorems

Orthogonality Theorem

Suitable Grade Level

Grades 10-12