Transcription of Vector Algebra - Math
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Vector Algebra - Math
chapter 13 Vector Basic ConceptsAvectorVin the plane or in space is an arrow: it is determined by its length, denotedjVjand itsdirection. Two arrows represent the same Vector if they have the same length and are parallel (see ). We use vectors to represent entities which are described by magnitude and direction. For example,a force applied at a point is a Vector : it is completely determined by the magnitude of the force and thedirection in which it is applied. An object moving in space has, at any given time, a direction of motion,and a speed. This is represented by the velocity Vector of the motion. More precisely, the velocity vectorat a point is an arrow of length the speed (ds=dt), which lies on the tangent line to the trajectory.
CHAPTER 13 Vector Algebra x 13.1. Basic Concepts ... In these notes, we will define the relevant concepts geometrically, and let this lead us to the algebraic formulation. Figure 13.1 + ... 1, that is β 0 or π, in which case the vectors are parallel. Proposition 13.4 a) Two vectors V and W are orthogonal if and only if V ...
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