Lesson plan

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 (vector analysis) – 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

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Article summary

In mathematics, vector algebra may mean: * The operations of vector addition and scalar multiplication of a vector space * The algebraic operations in vector calculus (vector analysis) – 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

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  1. Summarise the article in your own words. Which single claim would you verify first, and why?
  2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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