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PHY183-Lecture03

# PHY183-Lecture03 - V e c to rs Vectors are heavily used in...

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August 29, 2006 Physics for Scientists&Engineers 1 1 Physics for Scientists & Engineers 1 Engineers 1 Fall Semester 2006 Lecture 3 August 29, 2006 Physics for Scientists&Engineers 1 2 Vectors Vectors ! Vectors are heavily used in physics ! Need to manipulate them without any difficulty ! Vector Beginning and end point Characterized by: Magnitude Direction Unit ! Remark: a quantity defined without a direction is a scalar C ! August 29, 2006 Physics for Scientists&Engineers 1 3 Cartesian Coordinate system (1) ! Used as a representation of vectors ! Quantifies a direction in 2-dimensional space Two perpendicular directions x to the right, y upward Position of point P specified by are positive or negative real numbers ( P x , P y ) ( , ) x y P P August 29, 2006 Physics for Scientists&Engineers 1 4 Cartesian Coordinate system (2) ! Quantifies a direction in 3-dimensional space Third direction coming straight out of page Higher dimensionalities are used in modern theories (but quite abstract and hard to represent on a two- dimensional paper)

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August 29, 2006 Physics for Scientists&Engineers 1 5 Right-Hand Rule
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PHY183-Lecture03 - V e c to rs Vectors are heavily used in...

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