A force on a non-rigid body is a bound vector.

Similarly, the set of all bound vectors with a common base point forms a vector space.

Forces are bound vectors and can be added only if they are applied at the same point.

A force is known as a bound vector which means it has a direction and magnitude and a point of application.

A vector with fixed initial and terminal point is called a bound vector.

This is a generalization of the notion of a bound vector in a Euclidean space.

Typically in Cartesian coordinates, one considers primarily bound vectors.

For this reason a force is called a bound vector, which means that it is bound to its point of application.

Thus the bound vector represented by (1,0,0) is a vector of unit length pointing from the origin along the positive x-axis.

If a and b are bound vectors that have the same base point, this point will also be the base point of a + b.

Because of the cross interactions, the bound vector solitons could have much stronger interaction forces than can exist between scalar solitons.

This more general type of spatial vector is the subject of vector spaces (for bound vectors) and affine spaces (for free vectors).

If the Euclidean space is equipped with a choice of origin, then a free vector is equivalent to the bound vector of the same magnitude and direction whose initial point is the origin.