Vector algebra

In mathematics, vector algebra may mean:

  • The operations of vector addition and scalar multiplication of a vector space
  • The algebraic operations in vector calculus – including the dot and cross products of 3-dimensional Euclidean space
  • Algebra over a field – a vector space equipped with a bilinear product
  • Any of the original vector algebras of the nineteenth century, including
    • Quaternions
    • Tessarines
    • Coquaternions
    • Biquaternions
    • Hyperbolic quaternions
Topics referred to by the same term
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