Vector Multiplication - pgccphy.net

Vector Simpson, of Physical Sciences and EngineeringPrince George s Community CollegeSeptember 18, 2010 IntroductionWhen dealing with scalars, there is only one definition of Multiplication : you multiply one scalar by anotherscalar, giving a scalar result according to the usual laws of arithmetic:a bDc. But with vectors, therearethreedifferent kinds of Multiplication : one kind gives a scalar result, another gives a Vector result, andanother gives a tensor result. Here we ll summarize the various types of Vector Multiplication and show howto compute each in terms of the rectangular components of the begin, let s represent vectors ascolumn vectors that is,3 1matrices.

Vector Multiplication D.G. Simpson,Ph.D. DepartmentofPhysicalSciencesandEngineering Prince George’s Community College September18,2010 Introduction

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