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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..
All the best.
AKASH GOYAL
AskiitiansExpert-IIT Delhi
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