What is vector and what are the basics concepts of vectors

What is vector and what are the basics concepts of vectors:
Firstly i will tell you that what is vector.
Vector:
A vector is represented graphically by a directed line segment with an arrow head. The length of line segment according to the chosen scale correspond to the magnitude of the vector.
Rules applicable on vectors:
Vectors cannot be added subtracted multiplied and divided by simple arithmetic rule. We graphic and trigonometric rules for vectors.
Vectors representations:
There are two ways to represent vectors quantities.
1.      Symbolic representations
2.      Graphical representations.
1. Symbol representation
A vector represented by bold letter A.

OR

A vector may also be represented by putting an arrow above or below the letter as A or A.

The magnitude of a vector is also called modulus and is denoted by placing two parallel lines across a vector, i.e.           A   =A
2.      Graphically representations:
A vector is graphically represented by a straight line arrow head at the end in the direction of the vector. The length of the line according to scale gives the magnitude of the vector.

Rectangular coordinate system:
It has two types
1.     Two dimensional coordinate system:
In plane two straight lines drawn perpendicular to each other are called coordinate axes.

The two lines are called x and y-axis. X-axis taken along horizontal direction and Y-axis taken along vertical direction.
                                         
                                    
                                                                                                   




2.     Three dimensional coordinate system:
It consist of three straight lines perpendicular to each other in space the three lines are called X,Y and Z-axes. As show in fig.

                                 

                                                                                             
Definitions of Vectors types:
Resultant Vector:
The sum of two or more vectors called resultant vector. It ha effect as combined effect of vector which are to be added.
Example:
Consider two vectors A and then their resultant R is
R= A + B


Unit Subtractions:
Add the negative of the vector by head to tail rule the resultant vector will give the subtraction or difference between the two vectors.
Null Vector:
A vector which has one or unit magnitude in a particular direction.
Null vector:
A vector of zero magnitude is called null vector. It is denoted by O the null vector has arbitrary direction. It can be obtained by subtracting two similar vectors. We cannot represent it on the paper.
A-A=O
Equal vector:
Two vectors A and B are said to be equal vector if they have the same magnitude direction.
                                                                                                           A


                                                                                                                             

Comments

Post a Comment

Popular posts from this blog

Kingman Review 2018 Recommendations

  1          Assignment Auditing 1.1          Kingman Review 2018 Audit and regulation are presently receiving an unparalleled level of scrutiny: besides Sir John Kingman’s Independent Inquiry two other significant studies are underway . The Competition and Markets Authority (CMA) has concluded its market assessment of statutory audit services and released final recommendations on 18 April 2019 (Kingman, 2018) . There should be an independent regulator that is focused on the interests of consumers of financial data and that has greatly enlarged powers and goals to replace the FRC says the review. New regulator ARGA is recommended, and those who rely on it should dread it, while those who are subject to its control should fear it (Kingman, 2018) . This new regulator will be the audit, reporting, and governance authority (ARGA). ARGA should follow the recommendations of the review : ·  ...
Read more

EU has penalized US $ 4 billion on Google Internet Company Google, which has increased stress in the US and EU

According to international media reports, Google had taken steps against competitors to target their Android mobile software to the market, which the EU fined on Google. The EU has regularly informed Google regarding fines and only 14 days of morale has been terminated for the payment, when the internet giants have been instructed Google to make the entire amount of fines in 2 weeks. This is the biggest crime imposed on any company so far by the League of Union, which was a fine of $ 2.3 billion in last year, on Google. Apparently Google will not affect this record penalty because the company currently owns 645 billion euros. An estimated 80% smartphone uses an Android operating system around the world, which will be able to increase Google's revenue for sale in the future, buying an online line while other companies are disturbed due to getting low revenue. And in Google Google has made it clear that business growth and market promotion does not take any false measures. It is ...
Read more

Save Money From Google Maps - Earn Money and Time from Google

Now Google Map will save consumers' petrol and time by suggesting the shortest route from all possible routes to reach destination destination. According to the International News Agency, Google has introduced its feature to Google Map and has introduced a new feature not being pocketed on users better and pockets. This feature uses the shortest way to reach its destination. You can choose which time and gas will be saved. Google Map can save your money and save your time also. Prior to this feature only 'Route' could be determined that could lead to destination design, but the settlement distance could not be measured. Feeling the user's requirement, Google Map will not only guide all destination routes, but will also tell you the distance to reach the destination. To take advantage of this feature, users will need to click the Google Map from their mobile phone or computer, zoom starter by clicking Star Point and select Measure, after which you click on the l...
Read more