Unformatted text preview: component method and the graphical method . The Component Method for Vector Addition and Scalar Multiplication When we mentioned in the introduction that a vector is either an ordered pair or a triplet of numbers we implicitly defined vectors in terms of components. Each entry in the 2dimensional ordered pair ( a , b ) or 3dimensional triplet ( a , b , c ) is called a component of the vector. Unless otherwise specified, it is normally understood that the entries correspond to the number of units the vector has in the x , y , and (for the 3D case) z directions of a plane or space. In other words, you can think of the components as simply the coordinates of the point associated with the vector. (In some sense, the vector is the point, although when we draw vectors we normally draw an arrow from the origin to the point.) Figure %: The vector (a, b) in the Euclidean plane....
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 Fall '10
 DavidJudd
 Physics, Linear Algebra, Addition, Vector Space, Euclidean space, scalar multiplication

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