Difference between revisions of "ModelCourses/Calculus/Vectors/Vectors in Space"
Jump to navigation
Jump to search
Line 2: | Line 2: | ||
* Vector Algebra |
* Vector Algebra |
||
− | ** Identifying points in space given the coordinates |
||
+ | ** Expressing a vector from Point A to Point B in vector notation. |
||
** 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 |
||
* The Dot Product of Two Vectors |
* The Dot Product of Two Vectors |
Revision as of 16:14, 21 December 2011
Vectors in Space
- Vector Algebra
- Expressing a vector from Point A to Point B in vector notation.
- 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