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Vectors in Space
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Two vectors are regarded as equal when they have the same length and direction. means that the directed line segments from to and to represent the same vector.
A vector represents a parallel translation of the space:
corresponds to the translation of the point into the point , pictured by an arrow.
The coordinates of can also be obtained by calculating the difference of the recpective coordinates of the points and . Finally, the zero vector is denoted by
|automatically generated 3/28/2008|