31. This non-inertial frame also employs unit vectors normal to the trajectory and parallel to it. 32. Each unit vector only has two independent components, the third is determined from the unit magnitude. 33. They also serve as unit vectors for the description of our 3 spatial dimensions in loop quantum gravity. 34. The rows of this matrix are mutually perpendicular unit vectors : an orthonormal basis of ! 3. 35. In the Cartesian basis, a set of mutually perpendicular unit vectors in their indicated directions, we have 36. The same unit vector construct is used to specify spatial directions in 2D, 3D or higher dimensions. 37. The dual covector field of the timelike unit vector field in any frame field represents infinitesimal spatial hyperslices. 38. Where are the direction cosines between the material and spatial coordinate systems with unit vectors and, respectively. 39. Note that both are unit vectors . talk ) 06 : 36, 26 November 2011 ( UTC) 40. Where are the Cartesian basis vectors, a set of mutually perpendicular unit vectors along their indicated directions.