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CHAPTER 10 DEFINITIONS AND THEOREMS

 

Definition of Dot Product

 

Theorem 10.5  Angle Between Two Vectors

 

Direction Cosines
  The direction cosines are the cosines of the angles the vector in standard position makes with the x-axis, y-axis, and z-axis.  The basis vectors i, j, and k could be used as the direction vectors for the coordinate axes.

If we take the vector v to have components as given below

 then to find alpha compute

and to find beta compute

and to find gamma compute

 

  

 

Theorem 10.6   Projection Using the Dot Product

 

Definition of Work

 

 

 

 

 

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        Lane Vosbury, Mathematics, Seminole State College   email:  vosburyl@seminolestate.edu

        This page was last updated on 08/21/14          Copyright 2002          webstats