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Parallelogram Area — Topic Summaries

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Cross products | Chapter 10, Essence of linear algebra

3Blue1Brown · 3 min read

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 ProductDeterminantsOrientation

Linear Algebra 10 | Cross Product

The Bright Side of Mathematics · 1 min read

The cross product is a uniquely three-dimensional operation: given two vectors in 3, it produces a third vector that is perpendicular to both...

Cross ProductOrthogonalityRight-Hand Rule

Linear Algebra 10 | Cross Product [dark version]

The Bright Side of Mathematics · 2 min read

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...

Cross ProductOrthogonalityRight-Hand Rule