Vector Analysis

Physical quantities :: The quantities by which various physical phenomena occurring in nature can be understood, they are called physical quantities .

Such as - velocity , force , moment of inertia , etc.

 In general physical quantities are two types 


  1. Scalar quantities
  2. Vector quantities

scalar quantities :: The physical quantities they have only magnitude are called scalar quantities. 
    Such as : - speed , pressure , energy , density etc.

Vector quantities :: The physical quantities they have both factor , direction and magnitude . In other way we can define , the physical quantity the have  direction and magnitude simultaneously is called vector quantities.
     Such as - Displacement , force , Current density etc. 


There are some other physical quantities that are not completely defined by the magnitude and direction. Such physical quantities are called tensor quantities.

Types of Vectors :: The types of vector are showing in below .

➤ Equal vector :: Two vectors are equal when both their magnitude and direction are equal.

➤ Parallel vector :: Two Vectors are parallel when theri direction are equal .

➤ Zero vector :: The vector the have zero magnitude and independent direction.

➤ Unit vector :: The ratio of a vector and its magnitude is called the unit vector of the vector.

➤ Negative vector :: Two Vectors they have same magnitude but opposite direction .

➤ Anti parallel vector :: Two Vectors the have opposite direction .

➤ Collinear vector :: Vectors with angle between 0 ° and 180 °  in others word they vector works along the same straight line .

Coplanar Vectors :: when three Vector have in same plane .

Orthogonal unit Vectors ::  i^ , j^ and k^ are Orthogonal unit Vectors when the direction of X , Y and Z are equal to i^  , j^ and k^ .



Polar vector :: Two vector their have same origin point .

For example - Displacement , 

➤  Axial vector :: The Vectors they represent rotation effect and follow left hand pech law's
According to pech law , the direction of Vectors are always in rotation axis of Vectors 
For example - Angular velocity , torque , Angular momentum .

Vector Representation :: Vectors represents by arrow symbol and the Origin of vector called tail of vector and the final point of arrow called head of vector , in the side of head of vector we calculate direction.


         

           ◆Other physics topic useful link 

             ➢Introduction of physics
             ➢Speed / motion / types of speed
             ➢Units and Dimensions

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