What is the characteristics of vector addition?
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A quantity which does not depend on direction is called a scalar quantity. A vector quantity has two characteristics, a magnitude and a direction. When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction. On this slide we describe the method for adding two vectors.
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Addition of vectors satisfies two important properties.
(i). The commutative law, which states the order of addition doesn't matter: a+b=b+a. ...
(ii). The associative law, which states that the sum of three vectors does not depend on which pair of vectors is added first: (a+b)+c=a+(b+c).
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