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In mathematicsphysics and Vectora Euclidean vector sometimes called a geometric [1] or spatial vector Vector, [2] or—as in here—simply a vector is a geometric object that has magnitude or length and direction. Vectors can be added to other vectors according to vector algebra.

A vector is what is needed to "carry" the point A to the point B ; the Latin word vector means "carrier". Many algebraic operations on real numbers such as additionsubtractionmultiplicationand negation have close analogues for vectors, [7] operations Vector obey the familiar algebraic laws of commutativityassociativityand Vector. These operations and associated Vector qualify Euclidean vectors as an example of the more generalized concept of Vector defined simply as elements of a vector space. Vectors play an important role in physics : the velocity and acceleration of a moving object and the forces acting on it can all be described Vevtor vectors.

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Although most of them do not represent distances except, for example, position or displacementtheir magnitude and direction can still be represented by the length and direction of an arrow. The mathematical representation of a Vector vector depends on the Vector system used to describe it. Other vector-like objects that Vector physical quantities and transform in a similar way under changes of the coordinate system include pseudovectors and tensors. The concept of vector, as we know it https://amazonia.fiocruz.br/scdp/blog/story-in-italian/persuasive-essay-on-foreign-aid.php, evolved gradually over a period of more than years.

About a dozen people made Vector contributions to its development. InGiusto Bellavitis abstracted the basic idea when he established the concept of equipollence. Working in a Euclidean plane, he Vector equipollent any pair of line segments of the same length and orientation.

Essentially, he realized an equivalence relation on the pairs of points bipoints in the plane, and thus erected the first space of vectors in the plane. Like Bellavitis, Vector viewed vectors as representative of classes of equipollent directed segments.

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As complex numbers use an imaginary unit to complement the real lineHamilton considered the vector v to be the imaginary part of Vector quaternion:. Grassmann's work Theorie der Ebbe und Flut Theory of the Ebb and Flow was the first system of spatial analysis that is similar to today's system, and had ideas corresponding to the cross product, scalar product and vector differentiation. Grassmann's work was largely neglected Vector the s. Peter Guthrie Tait Vecor the quaternion standard after Hamilton.]