ModelCourses/Calculus/Vectors/Vectors in Space

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