Pure mathematics is, in its way, the poetry of logical ideas. --- Albert Einstein ...Economics is nothing but Mathematics -Dr.Ahsan Abbass...Symmetry is Ornament of Mathematics-Zulfiqar Ali Mir...Law of Nature are But Mathematical Thoughts of God - Euclid (Father of Geometry)...Mathematics is about Number and pattern among these nos.-Sir Zulfiqar A Mir,... Number Theory is Foundation of Mathematics-Sir Zulfiqar Ali Mir

Friday, 28 October 2011

Vectors

Vector


  • Equal Vector, Negative Vector, Parallel Vector, Free Vector (Fixed Vector & Position Vector)



Free vector:
Vectors in which there is no restriction to choose the origin of a vector.




Position (vector)


In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector which represents the position of a point P in space in relation to an arbitrary reference origin O. Usually denoted s or r, it corresponds to the displacement from O to P.

\bold{r}=\overrightarrow{OP}.





http://emweb.unl.edu/math/mathweb/vectors/vectors.html 



Vectors and vector addition:

Addition of two vectors is accomplished by laying the vectors head to tail in sequence to create a triangle such as is shown in the figure.


A vector can be resolved along any two directions in a plane containing it. The figure shows how the parallelogram rule is used to construct vectors a and b that add up to c.






















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