Definition of free vector in English:

free vector

noun

Mathematics
  • A vector of which only the magnitude and direction are specified, not the position or line of action.

    • ‘The main difference between position vectors and free vectors is their behavior under affine transformations.’
    • ‘Sometimes they are represented as free vectors that can be moved into arbitrary locations depending on what concept is being explained.’
    • ‘Considering the existing isomorphism between the free vectors of space and the points of E 3, it is often more suitable to define curve C by a free vector of components (x, y, z (t)).’
    • ‘We have used the idea of free vectors in the way we added vectors together as follows.’
    • ‘The equivalent method of subtraction for free vectors can be thought of as reversing the vector to be subtracted and adding it to the first vector.’