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03_ChapSummary - SUMMARY The goals of Chapter 3 have been...

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scalar quantity vector quantity magnitude resultant vector graphical addition zero vector, Cartesian coordinates 0 r quadrants component vector decomposition component unit vector, or algebraic addition j ^ i ^ S U M M A R Y The goals of Chapter 3 have been to learn how vectors are represented and used. Important Concepts A vector is a quantity described by both a magnitude and a direction. Unit Vectors Unit vectors have magnitude 1 and no units. Unit vectors and define the directions of the x - and y -axes. j ^ i ^ Using Vectors Components The component vectors are parallel to the x - and y -axes: In the figure at the right, for example: Minus signs need to be included if the vector points down or left. u 5 tan 2 1 ( A y / A x ) A y 5 A sin u A 5 " A 2 x 1 A 2 y A x 5 A cos u A r 5 A r x 1 A r y 5 A x i ^ 1 A y j ^ Working Graphically Working Algebraically Vector calculations are done component by component: The magnitude of
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