MathAlgebraLinear algebraVectors and vector spaces

Vector operations

Statements about properties

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What are the properties which result from the vector operations?

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If a vector is multiplied successively by several scalars, changing the order in which the scalars are taken may change the result

The product of a scalar and a sum of two vectors is equal to the sum of these vectors, each multiplied by the same scalar

In a sum of more than two vectors, the way in which the terms are grouped together does not affect the result

In a sum of two vectors, the order in which the vectors are taken does not affect the result

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