Difference between revisions of "ModelCourses/Calculus/Vectors/Vectors in Space"

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(Created page with ' Vectors in Space * Space Coordinates * The Dot Product of Two Vectors ** Calculations ** Parallel and geometric implications ** Angle between vectors, orthogonality and cos(th…')
 
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Vectors in Space
  
Vectors in Space
   
 
* Space Coordinates
  
* Space Coordinates
  +
** Identifying points in space given the coordinates
  +
** Identifying the coordinates of points in space given a dynamic 3d graph of the points
 
* The Dot Product of Two Vectors
  
* The Dot Product of Two Vectors
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** Calculations
  
  +
** Calculating the standard collection of numerical examples
 
** Parallel and geometric implications
  
** Parallel and geometric implications
  +
*** Given a particular vector, create other parallel vectors of desired length
 
** Angle between vectors, orthogonality and cos(theta)
  
** Angle between vectors, orthogonality and cos(theta)
  +
*** Given two vectors, determine the angle between
  +
*** Given one vector and an angle, determine another other vector with the desired angle. Maybe give part of the second vector.
  +
*** Given one 2d vector, determine another vector which is orthogonal
 
* The Cross Product of Two Vectors in Space
  
* The Cross Product of Two Vectors in Space
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** Calculations
  
  +
** Calculating the standard collection of numerical examples
  +
** Orthogonality
  +
*** Given a vector, determine another vector which is orthogonal
 
** Orthogonality between three vectors
  
** Orthogonality between three vectors
  +
*** Given two vectors, determine a vector which is normal

Revision as of 14:11, 9 December 2011

Vectors in Space

  • Space Coordinates
    • Identifying points in space given the coordinates
    • Identifying the coordinates of points in space given a dynamic 3d graph of the points
  • The Dot Product of Two Vectors
    • Calculating the standard collection of numerical examples
    • Parallel and geometric implications
      • Given a particular vector, create other parallel vectors of desired length
    • Angle between vectors, orthogonality and cos(theta)
      • Given two vectors, determine the angle between
      • Given one vector and an angle, determine another other vector with the desired angle. Maybe give part of the second vector.
      • Given one 2d vector, determine another vector which is orthogonal
  • The Cross Product of Two Vectors in Space
    • Calculating the standard collection of numerical examples
    • Orthogonality
      • Given a vector, determine another vector which is orthogonal
    • Orthogonality between three vectors
      • Given two vectors, determine a vector which is normal
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