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Cross Product
★★★☆☆High School
📖Definition
Defined for 3D vectors, produces a vector perpendicular to both input vectors.
📐Formulas
\vecu × \vecv = \beginpmatrix u₂v₃ - u₃v₂ \\ u₃v₁ - u₁v₃ \\ u₁v₂ - u₂v₁ \endpmatrix
Cross product component formula
|\vecu × \vecv| = |\vecu||\vecv|sinθ
Magnitude (parallelogram area)
✏️Examples
예제 1★★☆☆☆
Find u × v for u = (1, 0, 0) and v = (0, 1, 0).
⚡Applications
Physics
Torque, angular momentum
Computer Graphics
Normal vector calculation
🔗Related Documents
→Prerequisites
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⚡Applications
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