Vectors And Coordinate Geometry

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Vectors and Coordinate Geometry

Author : Vladimir Serdarushich
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781523688661
Total Pages : 184 pages
Book Rating : 4.6/5 (886 download)

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Book Synopsis Vectors and Coordinate Geometry by : Vladimir Serdarushich

Download or read book Vectors and Coordinate Geometry written by Vladimir Serdarushich and published by Createspace Independent Publishing Platform. This book was released on 2016-02-24 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: vectors in plane and space, length of vector, magnitude of vector, collinear vectors, opposite vectors, coplanar vectors, addition of vectors, triangle rule and parallelogram rule, zero or null vector, subtraction of vectors, scalar multiplication, multiplication of vector by scalar, unit vector, linear combination of vectors, linear dependence of vectors, vectors and coordinate system , Cartesian vectors, vectors in coordinate plane, vectors two dimensional system of coordinates, radius vector, position vector, vector components, vectors in two-dimensional system examples, vectors in three-dimensional space in terms of Cartesian coordinates, angles of vectors in relation to coordinate axes, directional cosines, scalar components of vector, unit vector of vector, vectors in three-dimensional coordinate system examples, scalar product, dot product, inner product, perpendicularity of vectors, different position of two vectors, values of scalar product, square of magnitude of vector, scalar product of unit vector, scalar or dot product properties, scalar product in coordinate system, angle between vectors in coordinate plane, projection of vector in direction of another vector, scalar and vector components, vector product or cross product, vector product, right-handed system, example of vector product in physics, condition for two vectors to be parallel, condition for two vectors to be perpendicular, vector products of standard unit vectors, vector product in component form, mixed product or scalar triple product definition, mixed product properties, condition for three vectors to be coplanar, mixed product, scalar triple product, mixed product expressed in terms of components, vector product and mixed product use examples,coordinate geometry, points lines and planes in three-dimensional coordinate system represented by vectors, points lines and planes in three-dimensional space, position of two lines in 3D space, coplanar lines, skew lines, line and plane in three-dimensional space, two planes in three-dimensional space, line of intersection of two planes, orthogonality of line and plane and, orthogonal projection of point on plane, distance from point to plane, angle between line and plane, angle between two planes, line in three-dimensional coordinate system, equation of line in space, vector equation of line, parametric equation of line, equation of line defined by direction vector and point, symmetric equation of line, distance between two points, orthogonal projection of line in space on xy coordinate plane, line in 3D space examples, angle between lines, condition for intersection of two lines in 3D space, equations of plane in coordinate space, equations of plane in 3D coordinate system, intercept form of equation of plane, equation of plane through three points, distance between point and plane, angle between two planes, line and plane in space, line of intersection of two planes, projection of line on coordinate planes, two planes of which given line is their intersection, intersection point of line and plane, sheaf or pencil of planes, angle between line and plane, orthogonal projections, point line and plane distances, condition for line and plane to be perpendicular, line perpendicular to given plane, plane perpendicular to given line, projection of point on plane in space, projection of point on line in space, line perpendicular to given line, plane parallel with two skew lines, plane parallel with two parallel lines, distance between point and line in 3D space, distance between point and plane in space example, distance between parallel lines, distance between skew lines,

Vector Geometry

Author : Gilbert de B. Robinson
Publisher : Courier Corporation
ISBN 13 : 0486321045
Total Pages : 194 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Vector Geometry by : Gilbert de B. Robinson

Download or read book Vector Geometry written by Gilbert de B. Robinson and published by Courier Corporation. This book was released on 2013-10-10 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.

Vectors and Their Applications

Author : Anthony J. Pettofrezzo
Publisher : Courier Corporation
ISBN 13 : 0486148890
Total Pages : 146 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Vectors and Their Applications by : Anthony J. Pettofrezzo

Download or read book Vectors and Their Applications written by Anthony J. Pettofrezzo and published by Courier Corporation. This book was released on 2012-12-04 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward undergraduate students, this text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical trigonometry, and analytic geometry of two- and three-dimensional space. Its rigorous development includes a complete treatment of the algebra of vectors in the first two chapters. Among the text's outstanding features are numbered definitions and theorems in the development of vector algebra, which appear in italics for easy reference. Most of the theorems include proofs, and coordinate position vectors receive an in-depth treatment. Key concepts for generalized vector spaces are clearly presented and developed, and 57 worked-out illustrative examples aid students in mastering the concepts. A total of 258 exercise problems offer supplements to theories or provide the opportunity to reinforce the understanding of applications, and answers to odd-numbered exercises appear at the end of the book.

Elementary Vector Geometry

Author : Seymour Schuster
Publisher :
ISBN 13 : 9780471764946
Total Pages : 213 pages
Book Rating : 4.7/5 (649 download)

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Book Synopsis Elementary Vector Geometry by : Seymour Schuster

Download or read book Elementary Vector Geometry written by Seymour Schuster and published by . This book was released on 1962-01-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebra and Trigonometry

Author : Jay P. Abramson
Publisher :
ISBN 13 : 9781938168376
Total Pages : 1564 pages
Book Rating : 4.1/5 (683 download)

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Book Synopsis Algebra and Trigonometry by : Jay P. Abramson

Download or read book Algebra and Trigonometry written by Jay P. Abramson and published by . This book was released on 2015-02-13 with total page 1564 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.

Geometrical Vectors

Author : Gabriel Weinreich
Publisher : University of Chicago Press
ISBN 13 : 9780226890487
Total Pages : 132 pages
Book Rating : 4.8/5 (94 download)

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Book Synopsis Geometrical Vectors by : Gabriel Weinreich

Download or read book Geometrical Vectors written by Gabriel Weinreich and published by University of Chicago Press. This book was released on 1998-07-06 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every advanced undergraduate and graduate student of physics must master the concepts of vectors and vector analysis. Yet most books cover this topic by merely repeating the introductory-level treatment based on a limited algebraic or analytic view of the subject. Geometrical Vectors introduces a more sophisticated approach, which not only brings together many loose ends of the traditional treatment, but also leads directly into the practical use of vectors in general curvilinear coordinates by carefully separating those relationships which are topologically invariant from those which are not. Based on the essentially geometric nature of the subject, this approach builds consistently on students' prior knowledge and geometrical intuition. Written in an informal and personal style, Geometrical Vectors provides a handy guide for any student of vector analysis. Clear, carefully constructed line drawings illustrate key points in the text, and problem sets as well as physical examples are provided.

A Textbook of Vector Analysis

Author : Shanti Narayan | PK Mittal
Publisher : S. Chand Publishing
ISBN 13 : 9788121922432
Total Pages : 422 pages
Book Rating : 4.9/5 (224 download)

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Book Synopsis A Textbook of Vector Analysis by : Shanti Narayan | PK Mittal

Download or read book A Textbook of Vector Analysis written by Shanti Narayan | PK Mittal and published by S. Chand Publishing. This book was released on 2010 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Textbook of Vector Analysis

The Geometry of Physics

Author : Theodore Frankel
Publisher : Cambridge University Press
ISBN 13 : 1139505610
Total Pages : 749 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis The Geometry of Physics by : Theodore Frankel

Download or read book The Geometry of Physics written by Theodore Frankel and published by Cambridge University Press. This book was released on 2011-11-03 with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the Dirac operator and spinors, and gauge fields, including Yang–Mills, the Aharonov–Bohm effect, Berry phase and instanton winding numbers, quarks and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. The book is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. This third edition includes an overview of Cartan's exterior differential forms, which previews many of the geometric concepts developed in the text.

Geometry & Vector Calculus

Author : A. R. Vasishtha
Publisher : Krishna Prakashan Media
ISBN 13 : 8182835372
Total Pages : 581 pages
Book Rating : 4.1/5 (828 download)

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Book Synopsis Geometry & Vector Calculus by : A. R. Vasishtha

Download or read book Geometry & Vector Calculus written by A. R. Vasishtha and published by Krishna Prakashan Media. This book was released on with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry & Vectors

Author :
Publisher : Krishna Prakashan Media
ISBN 13 :
Total Pages : 572 pages
Book Rating : 4./5 ( download)

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Book Synopsis Geometry & Vectors by :

Download or read book Geometry & Vectors written by and published by Krishna Prakashan Media. This book was released on with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tensor and Vector Analysis

Author : C. E. Springer
Publisher : Courier Corporation
ISBN 13 : 048632091X
Total Pages : 258 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Tensor and Vector Analysis by : C. E. Springer

Download or read book Tensor and Vector Analysis written by C. E. Springer and published by Courier Corporation. This book was released on 2013-09-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.

The Elements of Coordinate Geometry

Author : Sidney Luxton Loney
Publisher :
ISBN 13 :
Total Pages : 454 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis The Elements of Coordinate Geometry by : Sidney Luxton Loney

Download or read book The Elements of Coordinate Geometry written by Sidney Luxton Loney and published by . This book was released on 1920 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Algebra Through Geometry

Author : Thomas Banchoff
Publisher : Springer Science & Business Media
ISBN 13 : 1461243904
Total Pages : 316 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Linear Algebra Through Geometry by : Thomas Banchoff

Download or read book Linear Algebra Through Geometry written by Thomas Banchoff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space.

Geocomputation with R

Author : Robin Lovelace
Publisher : CRC Press
ISBN 13 : 1351396900
Total Pages : 335 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Geocomputation with R by : Robin Lovelace

Download or read book Geocomputation with R written by Robin Lovelace and published by CRC Press. This book was released on 2019-03-22 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geocomputation with R is for people who want to analyze, visualize and model geographic data with open source software. It is based on R, a statistical programming language that has powerful data processing, visualization, and geospatial capabilities. The book equips you with the knowledge and skills to tackle a wide range of issues manifested in geographic data, including those with scientific, societal, and environmental implications. This book will interest people from many backgrounds, especially Geographic Information Systems (GIS) users interested in applying their domain-specific knowledge in a powerful open source language for data science, and R users interested in extending their skills to handle spatial data. The book is divided into three parts: (I) Foundations, aimed at getting you up-to-speed with geographic data in R, (II) extensions, which covers advanced techniques, and (III) applications to real-world problems. The chapters cover progressively more advanced topics, with early chapters providing strong foundations on which the later chapters build. Part I describes the nature of spatial datasets in R and methods for manipulating them. It also covers geographic data import/export and transforming coordinate reference systems. Part II represents methods that build on these foundations. It covers advanced map making (including web mapping), "bridges" to GIS, sharing reproducible code, and how to do cross-validation in the presence of spatial autocorrelation. Part III applies the knowledge gained to tackle real-world problems, including representing and modeling transport systems, finding optimal locations for stores or services, and ecological modeling. Exercises at the end of each chapter give you the skills needed to tackle a range of geospatial problems. Solutions for each chapter and supplementary materials providing extended examples are available at https://geocompr.github.io/geocompkg/articles/. Dr. Robin Lovelace is a University Academic Fellow at the University of Leeds, where he has taught R for geographic research over many years, with a focus on transport systems. Dr. Jakub Nowosad is an Assistant Professor in the Department of Geoinformation at the Adam Mickiewicz University in Poznan, where his focus is on the analysis of large datasets to understand environmental processes. Dr. Jannes Muenchow is a Postdoctoral Researcher in the GIScience Department at the University of Jena, where he develops and teaches a range of geographic methods, with a focus on ecological modeling, statistical geocomputing, and predictive mapping. All three are active developers and work on a number of R packages, including stplanr, sabre, and RQGIS.

Parallel Coordinates

Author : Alfred Inselberg
Publisher : Springer Science & Business Media
ISBN 13 : 0387686282
Total Pages : 571 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Parallel Coordinates by : Alfred Inselberg

Download or read book Parallel Coordinates written by Alfred Inselberg and published by Springer Science & Business Media. This book was released on 2009-08-15 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one book that can genuinely be said to be straight from the horse’s mouth. Written by the originator of the technique, it examines parallel coordinates as the leading methodology for multidimensional visualization. Starting from geometric foundations, this is the first systematic and rigorous exposition of the methodology's mathematical and algorithmic components. It covers, among many others, the visualization of multidimensional lines, minimum distances, planes, hyperplanes, and clusters of "near" planes. The last chapter explains in a non-technical way the methodology's application to visual and automatic data mining. The principles of the latter, along with guidelines, strategies and algorithms are illustrated in detail on real high-dimensional datasets.

Introduction to Vector Analysis

Author : John Cragoe Tallack
Publisher : Cambridge University Press
ISBN 13 : 0521079993
Total Pages : 310 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Introduction to Vector Analysis by : John Cragoe Tallack

Download or read book Introduction to Vector Analysis written by John Cragoe Tallack and published by Cambridge University Press. This book was released on 1970 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first eight chapters of this book were originally published in 1966 as the successful Introduction to Elementary Vector Analysis. In 1970, the text was considerably expanded to include six new chapters covering additional techniques (the vector product and the triple products) and applications in pure and applied mathematics. It is that version which is reproduced here. The book provides a valuable introduction to vectors for teachers and students of mathematics, science and engineering in sixth forms, technical colleges, colleges of education and universities.

Applied Mathematics for Engineers and Physicists

Author : Louis A. Pipes
Publisher : Courier Corporation
ISBN 13 : 0486794997
Total Pages : 1043 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Applied Mathematics for Engineers and Physicists by : Louis A. Pipes

Download or read book Applied Mathematics for Engineers and Physicists written by Louis A. Pipes and published by Courier Corporation. This book was released on 2014-06-10 with total page 1043 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced courses in applied mathematics, this text covers analysis of lumped parameter systems, distributed parameter systems, and important areas of applied mathematics. Answers to selected problems. 1970 edition.