Lecture_3-Position_Vector___Force_Vector.ppt

Lecture_3-Position_Vector___Force_Vector.ppt - Force...

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Force Vectors Lecture 3-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.
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
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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Position Vector-Example 1. Position vector extends from point A (3, 0, 9) to point B (1, 4, 9)
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This note was uploaded on 06/14/2009 for the course CE 221 taught by Professor Buch during the Spring '08 term at Michigan State University.

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Lecture_3-Position_Vector___Force_Vector.ppt - Force...

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