The Component Method for Vector Addition and Scalar Multiplication

The Component Method for Vector Addition and Scalar Multiplication

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The Component Method for Vector Addition and Scalar Multiplication A vector is either an ordered pair or a triplet of numbers we implicitly defined vectors in terms of components. Each entry in the 2-dimensional ordered pair (a, b) or 3-dimensional 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
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Unformatted text preview: 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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