TABLE OF CONTENTS Vectors and Scalars/Unit vectors/Scalar Componets and Vector Components/Vectorial Areas/Dot Product/Vector Fields and Scalar Fields/The Gradient Vector/Line Integrals/Divergence and the Divergence Theorem/Curl and Stokes' Theorem/Potential Functions and Conservatives Fields
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| 1.1 Quantities having magnitude only are called scalars, and those having magnitudes and directions are called vectors. Classify:
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| 1.2 A vector may be represented by a directed line segment. Show how the two vectors given in Fig. 1-1( a) may be added together.  Figure 1-1 |
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| 1.3 For the vector A of Fig. 1-2( a), draw the vector k A for k > 0 and k < 0.  Figure 1-2 |
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| 1.4 Obtain the vector A - B for the vectors A and B given in Fig. 1-1.  Figure 1-3 |
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| 1.5 We define unit vectors a x, a y, and a z in a rectangular coordinate system as vectors of length 1 and directed along the x, y, and z axes, respectively. Given A x, A y, and A z, the scalar components (projections) of a vector A along the three axes, express A in terms of these components and unit vectors. |
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| 1.6 A vector A has beginning... |
