Cross Product: A Geometric Derivation from Area, Orientation and Orthogonality

This work develops the cross product from geometric first principles. Rather than beginning with the standard coordinate formula, it starts with the geometric requirements: a vector perpendicular to two given vectors whose magnitude equals the area of the parallelogram they span.

Visual diagrams connect area, orientation and orthogonality, showing how the familiar determinant expression emerges naturally from geometric considerations. The presentation emphasizes understanding the origin of the formula rather than treating it as a computational rule.

The material is intended as a conceptual supplement to undergraduate linear algebra and vector calculus courses and is part of the GraphMath project.