Cross Product — Topic Summaries
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Cross products | Chapter 10, Essence of linear algebra
Cross products turn the geometry of a parallelogram into an algebraic object: in 2D, they produce a signed area, and in 3D, they produce a...
Cross products in the light of linear transformations | Chapter 11, Essence of linear algebra
The 3D cross product isn’t just a memorized formula—it’s the dual vector of a specific linear transformation built from two vectors v and w. Once...
Linear Algebra 10 | Cross Product
The cross product is a uniquely three-dimensional operation: given two vectors in 3, it produces a third vector that is perpendicular to both...
Linear Algebra 10 | Cross Product [dark version]
The cross product is a concrete way to combine two 3D vectors into a third vector: given u and v in R3, the result u × v is itself a vector that is...