Vectors In Two Or Three Dimensions
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Vectors In Two Or Three Dimensions
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Author : Ann Hirst
language : en
Publisher: Butterworth-Heinemann
Release Date : 1995-08-17
Vectors In Two Or Three Dimensions written by Ann Hirst and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-17 with Mathematics categories.
Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout. Properties of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to more advanced theories. * Adopts a geometric approach * Develops gradually, building from basics to the concept of isometry and vector calculus * Assumes virtually no prior knowledge * Numerous worked examples, exercises and challenge questions
Pure Mathematics
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Author : Anthony Nicolaides
language : en
Publisher: PASS PUBLICATIONS
Release Date : 2008
Pure Mathematics written by Anthony Nicolaides and has been published by PASS PUBLICATIONS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Bivectors categories.
Vectors And Coordinate Geometry
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Author : Vladimir Serdarushich
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2016-02-24
Vectors And Coordinate Geometry written by Vladimir Serdarushich and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-24 with categories.
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,
Vectors In Two Or Three Dimensions
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Author : Ann Hirst
language : en
Publisher: Elsevier
Release Date : 1995-08-17
Vectors In Two Or Three Dimensions written by Ann Hirst and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-17 with Mathematics categories.
The book provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasized throughout.
Vectors In Three Dimensional Space
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Author : J. S. R. Chisholm
language : en
Publisher: CUP Archive
Release Date : 1978-09-28
Vectors In Three Dimensional Space written by J. S. R. Chisholm and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-09-28 with Mathematics categories.
This book deals with vector algebra and analysis and with their application to three-dimensional geometry and the analysis of fields in three dimensions. While many treatments of the application of vectors have approached the fundamentals of the subject intuitively, assuming some prior knowledge of Euclidean and Cartesian geometry, Professor Chrisholm here bases the subject on the axioms of linear space algebra, which are fundamental to many branches of mathematics. While developing the properties of vectors from axioms, however, he continually emphasizes the geometrical interpretation of vector algebra in order to build up intuitive relations between the algebraic equations and geometrical concepts. Throughout, examples are used to illustrate the theory being developed; several sets of problems are incorporate in each chapter, and outline answers to many of these are given. Written primarily for undergraduate mathematicians in the early part of their courses, this lucidly written book will also appeal to mathematical physicists and to mathematically inclined engineers.
Calculus Mathematica
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Author : Bill Davis
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1994
Calculus Mathematica written by Bill Davis and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Calculus categories.
Vectors
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Author : Anthony Nicolaides
language : en
Publisher: PASS PUBLICATIONS
Release Date : 1994
Vectors written by Anthony Nicolaides and has been published by PASS PUBLICATIONS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Fundamentals Of Vector Algebra In Two And Three Dimensional Space
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Author : Jack Tishkoff
language : en
Publisher:
Release Date : 1972
Fundamentals Of Vector Algebra In Two And Three Dimensional Space written by Jack Tishkoff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Generalized spaces categories.
Vectors In Three Dimensional Geometry
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Author : Abraham M. Glicksman
language : en
Publisher:
Release Date : 1961
Vectors In Three Dimensional Geometry written by Abraham M. Glicksman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Geometry, Solid categories.
Vectors And Their Applications
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Author : Anthony J. Pettofrezzo
language : en
Publisher: Courier Corporation
Release Date : 2012-12-04
Vectors And Their Applications written by Anthony J. Pettofrezzo and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-04 with Mathematics categories.
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.