Which one is correct?
"base of vectors" or "vector base"?

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base of vectors

This phrase is correct but less commonly used. It could be used in a more general context to describe a group of vectors.

This term can be used to refer to a collection or group of vectors without specifying a particular mathematical context.

Examples:

  • The base of vectors includes the position, velocity, and acceleration vectors.
  • We need to determine the base of vectors for this analysis.

Alternatives:

  • vector collection
  • group of vectors
  • vectors set
  • vectors group
  • vectors collection

vector base

This phrase is correct and commonly used in mathematics and computer science to refer to a set of vectors that span a vector space.

This term is used to describe a set of vectors that can be used to represent any vector in a given vector space.

Examples:

  • The standard basis is a vector base for the Euclidean space.
  • The eigenvectors form a vector base for the matrix.

Alternatives:

  • basis of vectors
  • set of vectors
  • spanning set of vectors
  • vector space basis
  • vectors basis
Both phrases are correct, but they are used in different contexts. 'Vector base' is commonly used in mathematics and computer science to refer to a set of vectors that span a vector space. 'Base of vectors' is less common and could be used in a more general context to describe a group of vectors.

Last Updated: March 23, 2024

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