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Unformatted text preview: Chapter 6: Vector Analysis We use derivatives and various products of vectors in all areas of physics. For example, Newton’s 2nd law is ~ F = m d 2 ~ r dt 2 . In electricity and magnetism, we need surface and volume integrals of various fields. Fields can be scalar in some cases, but often they are vector fields like ~ E ( x , y , z ) and ~ B ( x , y , z ) By the end of the chapter you should be able to I Work with various vector products including triple products Patrick K. Schelling Introduction to Theoretical Methods Chapter 6: Vector Analysis We use derivatives and various products of vectors in all areas of physics. For example, Newton’s 2nd law is ~ F = m d 2 ~ r dt 2 . In electricity and magnetism, we need surface and volume integrals of various fields. Fields can be scalar in some cases, but often they are vector fields like ~ E ( x , y , z ) and ~ B ( x , y , z ) By the end of the chapter you should be able to I Work with various vector products including triple products I Differentiate vectors Patrick K. Schelling Introduction to Theoretical Methods Chapter 6: Vector Analysis We use derivatives and various products of vectors in all areas of physics. For example, Newton’s 2nd law is ~ F = m d 2 ~ r dt 2 . In electricity and magnetism, we need surface and volume integrals of various fields. Fields can be scalar in some cases, but often they are vector fields like ~ E ( x , y , z ) and ~ B ( x , y , z ) By the end of the chapter you should be able to I Work with various vector products including triple products I Differentiate vectors I Use directional derivatives and the gradient Patrick K. Schelling Introduction to Theoretical Methods Chapter 6: Vector Analysis We use derivatives and various products of vectors in all areas of physics. For example, Newton’s 2nd law is ~ F = m d 2 ~ r dt 2 . In electricity and magnetism, we need surface and volume integrals of various fields. Fields can be scalar in some cases, but often they are vector fields like ~ E ( x , y , z ) and ~ B ( x , y , z ) By the end of the chapter you should be able to...
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 Spring '03
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 Vector Calculus, Dot Product, Angular Momentum, Force, Patrick K. Schelling

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