Vector algebra
From Robotics
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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 . A three-dimensional vector for example is
, and describe the components of the vector in x-, y- and z-direction.
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For graphical representations arrows are used that show the direction of the vector and whose length equals its magnitude. The magnitude of a vector