lecture3 - Vectors Scalars and Vectors Vector Components...

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Physics 1D03 - Lecture 3 1 Vectors Vectors Scalars and Vectors Vector Components and Arithmetic Vectors in 3 Dimensions Unit vectors i , j , k Serway and Jewett Chapter 3
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Physics 1D03 - Lecture 3 2 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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Physics 1D03 - Lecture 3 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 (
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Physics 1D03 - Lecture 3 4 Magnitude : a scalar, is the “length” of a vector. e.g., Speed, v = | v | (a scalar), is the magnitude of velocity v A A 2 3 A 2 1 - Multiplication: scalar × vector = vector Later in the course, we will use two other types of multiplication: the “dot product” , and the “cross product”.
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lecture3 - Vectors Scalars and Vectors Vector Components...

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