Difference between revisions of "ModelCourses/Calculus/Vectors/Vectors in Space"
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** Expressing a vector from Point A to Point B in vector notation |
** Expressing a vector from Point A to Point B in vector notation |
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** Sketching a position vector |
** Sketching a position vector |
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| − | ** Vector algebra: (1) scalar multiplication; (2) vector addition and |
+ | ** Vector algebra: (1) scalar multiplication; (2) vector addition and subtraction |
| − | ** |
+ | *** Computing a scalar times a vector and a sum (difference) of two vectors |
| + | *** Sketching and sketching a scalar times a vector and a sum (difference) of two vectors |
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** Triangle inequality |
** Triangle inequality |
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* The Dot Product of Two Vectors |
* The Dot Product of Two Vectors |
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** Two definitions of dot product of two vectors |
** Two definitions of dot product of two vectors |
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| − | *** Calculating |
+ | *** Calculating numerically examples |
** Parallel and geometric implications |
** Parallel and geometric implications |
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*** Given a particular vector, create other parallel vectors of desired length |
*** Given a particular vector, create other parallel vectors of desired length |
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Revision as of 17:49, 21 December 2011
Vectors in Space
- Vector Algebra
- Expressing a vector from Point A to Point B in vector notation
- Sketching a position vector
- Vector algebra: (1) scalar multiplication; (2) vector addition and subtraction
- Computing a scalar times a vector and a sum (difference) of two vectors
- Sketching and sketching a scalar times a vector and a sum (difference) of two vectors
- Triangle inequality
- The Dot Product of Two Vectors
- Two definitions of dot product of two vectors
- Calculating numerically 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
- Two definitions of dot product of two vectors
- 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
