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Often a vector is specified by a magnitude and a direction; for example, a rope with tension T exerts a force of magnitude T =

Often a vector is specified by a magnitude and a direction; for example, a rope with tension T exerts a force of magnitude T=20N in a direction \theta =35 north of east. This is a good way to think of vectors; however, to calculate results with vectors, it is best to select a coordinate system and manipulate the components of the vectors in that coordinate system.

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