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what is free vector

what is free vector

Grade:

2 Answers

Kishan IIT Kharagpur
46 Points
10 years ago

Hey Shubham

A vector which does not possess a definite starting or ending point, but with a certain magnitude and direction is called a free vector. Hence, all vectors in the space with the same magnitude and direction represent the same free vector. For instance, opposite sides of a parallelogram has the same magnitude and direction. Note, here choice of origin does not matter. 

Regards

Askiitians Expert

Kishan S Srinivas

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

In some contexts, one thinks of a vector as possessing a definite initial point and terminal point. For disambiguation, this is called a bound vector. In contrast, if one is interested only in the magnitude and direction of the vector—and does not think of it as situated at any particular location—then it is called a free vector.

 

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