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

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Vectors in Space
 
Vectors in Space
   
* Space Coordinates
 
  +
* Vector Algebra
 
** Identifying points in space given the coordinates
 
** Identifying points in space given the coordinates
 
** Identifying the coordinates of points in space given a dynamic 3d graph of the points
 
** Identifying the coordinates of points in space given a dynamic 3d graph of the points

Revision as of 16:04, 21 December 2011

Vectors in Space

  • Vector Algebra
    • 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

Download the set definition file for this problem set

ModelCourses/Multivariate Calculus