ModelCourses/Calculus/Vectors/Vectors in Space: Difference between revisions
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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 | ||
** | ** 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 | ||
** | ** 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 19:11, 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