Question

What is the correct formula for the unit vector in terms of physics? Also what is the correct definition of it.

Answer 1

ula

Unit Vector Formula

Vectors have both a magnitude (value) and a direction. Vectors are labeled with an arrow.


By definition, in a Euclidean space the dot product of two unit vectors is a scalar value amounting to the cosine of the smaller subtended angle. In three-dimensional Euclidean space, the cross product of two arbitrary unit vectors is a third vector orthogonal to both of them having length equal to the sine of the smaller subtended angle. The normalized cross product corrects for this varying length, and yields the mutually orthogonal unit vector to the two inputs, applying the right-hand rule to resolve one of two possible directions.