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week 1 note

by: Cynthia Notetaker

174

18

2

week 1 note MATH241

Cynthia Notetaker
UMD
GPA 3.5

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This note covers everything up until before unit vectors. Notes covering unit vectors, work and cross product will be uploaded during the week along with subsequent notes. My notes are not exactly ...
COURSE
Calculus III
PROF.
Manoussos Grillakis
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Math, Calculus, calculus3
KARMA
Free

Popular in Mathematics (M)

This 2 page Class Notes was uploaded by Cynthia Notetaker on Saturday January 30, 2016. The Class Notes belongs to MATH241 at University of Maryland taught by Manoussos Grillakis in Spring 2016. Since its upload, it has received 174 views. For similar materials see Calculus III in Mathematics (M) at University of Maryland.

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Date Created: 01/30/16
1 Vectors   Definition of a vector    Three ordered numbers ­ for exampA=(2,3,1) B=(­4,­8,5)  ● it is important to note that two vectors are not equal if the pairs  are ordered differently  A=(2,3,1) anC​=(3,2,1), thA is  not equal tC.  Usefulness of vectors  1. solve physics problems  2. locate points in space that could not otherwise be located    CARTESIAN COORDINATES    >OMP ​ is a right angled triangle    VECTOR OPERATIONS:  1) AdditionA​=(a,b,c) aB=​(d,e,f)                    A+B​ = (a+d, b+e , c+f )    1 vectors are identified with bold italicized numbers in this note.      2) Multiplication: (with a scalar quantity ­ a scalar quantity has no direction and is  therefore, not considered aA= c(a,b,c) = (ca, cb, cc)          For exaA=(3,2,1), thA=(3*3,3*2, 3*1) = (9,6,3)      RULES FOR VECTORS  IfA=(a, b ,c​ ​(d,e,f)  1) ​​ (­a, ­b, ­c)  2) AB= (a­d, b­e, c­f)  3) A+B=B+A  4) cA​B) =​c​B  5) A+(B+C)=(A+B)+C          If you got this far, eat a gummy bear!­­ yes, even if you don’t like gummy  bears :­p

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