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# lecture3 - Vectors Serway and Jewett Chapter 3 Scalars and...

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1 Physics 1D03 - Lecture 3 Vectors Scalars and Vectors Vector Components and Arithmetic Vectors in 3 Dimensions Unit vectors i , j , k Serway and Jewett Chapter 3 Practice Problems: Chapter 3, problems 9, 23, 31, 49, 55 Physics 1D03 - Lecture 3 Physical quantities are classified as scalars, vectors, etc. Scalar : described by a real number with units examples : mass, charge, energy . . . Vector : described by a scalar (its magnitude ) and a direction in space examples : displacement, velocity, force . . . Vectors have direction, and obey different rules of arithmetic.

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2 Physics 1D03 - Lecture 3 Notation Scalars : ordinary or italic font ( m , q , t . . .) Vectors : - Boldface font ( v , a , F . . .) - arrow notation - underline (v , a , F . . .) Pay attention to notation : “constant v ” and “constant v ” mean different things! .) . . F , a , v ( r r r Physics 1D03 - Lecture 3 Magnitude : a scalar, the “length” of a vector. e.g., Speed, v = | v | (a scalar), is the magnitude of velocity v A r A r 2 3 A r 2 1 - Multiplication: scalar × vector = vector
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