DZ
Returns a z component of translational displacement from one coordinate system object to another.
Format
DZ (Object 1, Object 2, Reference Frame)
Arguments
Object 1 | Coordinate system object to which the translational displacement component is measured. |
Object 2 | Coordinate system object from which the translational displacement component is measured. |
Reference Frame | Coordinate system object that defines the z-axis; used to measure the translational displacement component. |
symbol
Mathematically, DZ is calculated as follows:
where:
■
is the displacement of the Object 1, O1, in the global coordinate system.
is the displacement of the Object 1, O1, in the global coordinate system. ■
is the displacement of the Object 2, O2, in the global coordinate system.
is the displacement of the Object 2, O2, in the global coordinate system. ■
is the unit vector along the z-axis of the Reference Frame, R.
is the unit vector along the z-axis of the Reference Frame, R. Example
In the following illustration, the DZ function returns the z component of the translational displacement from marker_O2 to marker_O1, along the z-axis of marker_R:
Function | DZ(marker_O1, marker_O2, marker_R) |
Result | 0 |
