week 1 note
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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) cAB) =cB 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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