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vector algebra::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Type of | algebra |
| Has types | decomposition, vector decomposition |
Examples of vector algebra
vector algebra
Not only this, but Hamilton had in a sense invented the cross and dot products of vector algebra.
From the en.wikipedia.org
One of the basic theorems of vector algebra is that the length of a vector does not change when it is rotated.
From the en.wikipedia.org
In this sense, vector algebra is contrasted with geometric algebra, which provides an alternative generalization to higher dimensions.
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Ordinary vector algebra uses matrix multiplication to represent linear transformations, and vector addition to represent translations.
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To describe the motion of object A with respect to object B, when we know how each is moving with respect to a reference object O, we can use vector algebra.
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It extends the methods of vector algebra and calculus from the two-dimensional Euclidean plane and three-dimensional space to spaces with any finite or infinite number of dimensions.
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On the hand, linear algebra is much simpler for finite-dimensional vector spaces.
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The main structures of linear algebra are vector spaces and linear maps between them.
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According to a fundamental theorem of linear algebra, every vector space has a basis.
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