Transcription of Vector Calculus
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Vector Calculus
1. z 0. -10. -5. -10 0 x -5. 0 5. y 5 10. 10. Vector Calculus Michael Corral Vector Calculus Michael Corral Schoolcraft College About the author: Michael Corral is an Adjunct Faculty member of the Department of Mathematics at Schoolcraft College. He received a in Mathematics from the University of California at Berkeley, and received an in Mathematics and an in Industrial & Operations Engineering from the University of Michigan. This text was typeset in LATEX 2 with the KOMA-Script bundle, using the GNU Emacs text editor on a Fedora Linux system. The graphics were created using MetaPost, PGF, and Gnuplot. Copyright 2008 Michael Corral. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
which has those features is an arrow, which in elementary geometry is called a “directed line segment”. This is the motivation for how we will define a vector. Definition 1.1. A (nonzero) vector is a directed line segment drawn from a point P (called its initial point) to a point Q (called its terminal point), with P and Q being distinct ...
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