define equallity of two vectors

							
Dear Ankush
 
Two vectors are said to be equal if they have the same magnitude and direction. In the figure below, three equal vectors  have been represented. The equality of vectors is expressed in the following way 
 

Since the three vectors have the same direction,

Moreover, the three vectors are also equal in magnitude.

If the scales selected for the representation of three vectors are  the same, then, three equal vectors are represented by three arrows of  equal lengths, pointing in the same direction. If, however, the scales  chosen are different, then, it is possible to represent equal vectors by  arrows of different lengths. Equality of two vectors does not depend  upon their location in space. A direct consequence of this physical fact  is that a vector can be displaced parallel to itself. This fact may be  used in testing the equality of two vectors. It would be of interest to  note that, to compare two vectors with different physical dimensions,  would be absolutely meaningless. For example, it is not possible to  compare a velocity vector with a force vector.

All the best.                                                           
AKASH GOYAL
AskiitiansExpert-IIT Delhi
 
Please feel free to post as many doubts on our discussion forum as  you can. We are all IITians and here to help you in your IIT JEE  preparation.
Win exciting gifts by answering the questions on Discussion Forum. So help discuss any  query on askiitians forum and become an Elite Expert League askiitian. 
Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..