Vector algebra

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This article gives a brief explanation of vectors and vector algebra.
A scalar value is just a numeric value. In contrast thereto, a vectorial value has a direction. Examples for vectors are all forces and the velocity, which is directed to the driving direction.
Vectors are usually denoted with an arrow, for example \vec{\mathbf{a}}. For graphical representations arrows are used that show the direction of the vector and whose length equals its magnitude. The magnitude of a vector

  1. Unit vectors
  2. Simple arithmetic operations
  3. Dot product
  4. Cross product