Difference between revisions of "Forest UCM NLM"
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=Vectors= | =Vectors= | ||
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| + | ==Vector Notation== | ||
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| + | A vector is a mathematical construct or ordered elements to represent magnitude and direction simultaneously. | ||
| + | |||
| + | :<math>\vec{r} = x \hat{i} + y \hat{j} + z \hat{k} = (x,y,z) = \sum_1^3 r_i \hat{e}_i</math> | ||
| + | |||
| + | |||
| + | The multiplication of two vectors is not uniquely defined. At least three types of vector products may be defined. | ||
== Scaler ( Dot ) product== | == Scaler ( Dot ) product== | ||
== Vector ( Cross ) product== | == Vector ( Cross ) product== | ||
| + | |||
| + | |||
| + | A third vector product is the tensor direct product. | ||
=Space and Time= | =Space and Time= | ||
Revision as of 21:01, 14 July 2014
Newton's Laws of Motion
Limits of Classical Mechanic
Classical Mechanics is the formulations of physics developed by Newton (1642-1727), Lagrange(1736-1813), and Hamilton(1805-1865).
It may be used to describe the motion of objects which are not moving at high speeds (0.1) nor are microscopically small ( ).
The laws are formulated in terms of space, time, mass, and force:
Vectors
Vector Notation
A vector is a mathematical construct or ordered elements to represent magnitude and direction simultaneously.
The multiplication of two vectors is not uniquely defined. At least three types of vector products may be defined.
Scaler ( Dot ) product
Vector ( Cross ) product
A third vector product is the tensor direct product.
Space and Time
Space
Cartesian, Spherical, and Cylindrical coordinate systems are commonly used to describe three-dimensional space.