Orientation (vector space)
ID: orientation-vector-space
In the context of vector spaces, orientation is a concept that relates to how we can define a "direction" for a given basis of a vector space. It is particularly significant in the study of linear algebra, geometry, and topology. Here’s a more detailed explanation: 1. **Vector Spaces and Basis**: A vector space is a collection of vectors that can be scaled and added together. A basis of a vector space is a set of vectors that is linearly independent and spans the space.
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