Lecture_4-Position_Vector___Force_Vector

Lecture_4-Position_Vector___Force_Vector - Force Vectors...

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Force Vectors Lecture 4-Position Vector and Force Vector  Directed Along a Line  (Sections 2.7 and 2.8)
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Learning Objectives Be able to represent a position vector in Cartesian  coordinate form, from given geometry. Be able to represent a force vector directed along a   line.
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Pre-requisite Knowledge Units of measurements. Trigonometry concepts. Vector concepts. Directional vector concepts.
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Position Vector Z Y X Position vector r is defined as a vector which locates a point in  space relative to another point. For example, if r extends from  origin O to point P (x, y, z), r can be expressed as: P (x, y, z) O r z k x i y j k z j y i x + + = r
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Position Vector- contd. ( 29 ( 29 ( 29 k z z j y y i x x A B A B A B - + - + - = r If r extends from point A (x A , y A , z A ) to point B (x B , y B , z B ), r can be  expressed as:
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Lecture_4-Position_Vector___Force_Vector - Force Vectors...

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