Product of a vector and a scalar

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  • The purpose of this handbook is to present the reader with a teachable text that includes theory and examples. Useful analytical techniques provide the student and the practitioner with powerful tools for mechanical design. This book may also serve as a reference for the designer and as a source book for the researcher.

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  • The characteristicsof a vector are the magnitude, the orientation, and the sense. The magnitudeof a vector is speci®ed by a positive number and a unit having appropriate dimensions. No unit is stated if the dimensions are those of a pure number. The orientationof a vector is speci®ed by the relationship between the vector and given reference lines and=or planes. Thesenseof a vector is speci®ed by the order of two points on a line parallel to the vector. Orientation and sense together determine the directionof a vector.

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  • an one learn linear algebra solely by solving problems? Paul Halmos thinks so, and you will too once you read this book. The Linear Algebra Problem Book is an ideal text for a course in linear algebra. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as inner product spaces and normality. All of this occurs by way of a series of 164 problems, each with hints and, at the back of the book, full solutions. This book is a marvelous example of how...

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  • Linear algebra is the branch of mathematics concerning vector spaces, often finite or countably infinite dimensional, as well as linear mappings between such spaces. Such an investigation is initially motivated by a system of linear equations in several unknowns. Such equations are naturally represented using the formalism of matrices and vectors

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