61_An_Introduction_to_Vectors

# 61_An_Introduction_to_Vectors - Calculus and Vectors How to...

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Calculus and Vectors – How to get an A+ 6.1 An Introduction to Vectors ©2010 Iulia & Teodoru Gugoiu - Page 1 of 4 6.1 An Introduction to Vectors A Scalars and Vectors Scalars (in Mathematics and Physics) are quantities described completely by a number and eventually a measurement unit. Vectors are quantities described by a magnitude (length, intensity or size) and direction . Ex 1. Classify each quantity as scalar or vector. a) time scalar b) position vector c) temperature scalar d) electric charge scalar e) mass scalar f) force vector g) displacement vector B Geometric and Algebraic Vectors Geometric Vectors are vectors not related to any coordinate system. For example, the directed line segment AB : where A is called the initial (start, tail) point and B is called the final (end, terminal, head or tip) point. C Algebraic Vectors Algebraic Vectors are vectors related to a coordinate system. These vectors are (in general) described by their components relative to a reference system (frame). For example ) 1 , 3 , 2 ( = v r . D Position Vector

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## This note was uploaded on 04/11/2011 for the course MATH 1400 taught by Professor Grether during the Fall '08 term at North Texas.

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61_An_Introduction_to_Vectors - Calculus and Vectors How to...

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