SG_Chap3 - Chapter 3 Vectors and Two-dimensional motion...

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1 Chapter 3 Vectors and Two-dimensional motion Vector vs. Scalar • All physical quantities will be either a scalar or a vector • A vector quantity has both magnitude (size) and direction (sign) • A scalar is completely specified by only a magnitude (size) • Equality of Two Vectors – Two vectors are equal if they have the same magnitude and the same direction
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2 3.1 Vectors and their properties Negative Vectors – Two vectors are negative if they have the same magnitude but are in opposite directions Resultant Vector – The resultant vector is the sum of a given set of vectors ;0 A B A A R A B Adding vectors • Continue drawing the vectors “tip-to-tail” • The resultant is drawn from the origin of to the end of the last vector • Measure the length of and its angle A R
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3 Addition of vectors • When you have many vectors, just keep repeating the process until all are included • The resultant is still drawn from the origin of the first vector to the end of the last vector Notes about Vector Addition • Vectors obey the Commutative Law of Addition – The order in which the vectors are added doesn’t affect the result A B B A
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4 Vector Subtraction • Special case of vector
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SG_Chap3 - Chapter 3 Vectors and Two-dimensional motion...

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