Cartesian coordinate system - Wikipedia
In mathematics, physics, and engineering, the first axis is usually defined or depicted as horizontal and oriented to the right, and the second axis is vertical and oriented upwards. (However, in some …
X, Y, Z Axis. What do they stand for? - Acoem USA
Sep 23, 2019 · When performing precision shaft alignment on horizontal rotating machinery, the Z axis refers to the rotational axis or rotational centerlines. The Y axis refers to vertical position …
3.1: Right Hand Rule - Engineering LibreTexts
To find whether the axis of rotation is positive or negative, curl your fingers in the direction of rotation and your thumb shows the direction of rotation, i.e. whether rotation is along the positive or negative …
Three-Dimensional Coordinate Systems | Calculus III
To sketch a point, start by sketching three sides of a rectangular prism along the coordinate axes: one unit in the positive x direction, 2 units in the negative y direction, and 3 units in the positive z direction.
How to Use the Right Hand Rule for XYZ Axes - Engineer Fix
Nov 9, 2025 · To apply this rule, the fingers of the right hand are first aligned in the positive direction of the X-axis. The fingers are then curled inward toward the positive direction of the Y-axis. The …
1.2 XYZ Coordinate Frame – Engineering Mechanics: Statics
It is customary to denote the positive direction on the x-axis by the unit vector i and the positive direction on the y-axis by the unit vector j. Unit vectors of the axes, i and j, define two orthogonal directions in …
What are the different coordinate systems and how are they defined ...
The axis directions can be found using the right-hand rule with the first (index) finger pointing in the positive X-direction, the second (middle) finger in the positive Y-direction, and the thumb in the …
Statics: 3D Coordinate Systems & Vectors
The direction of a vector in two-dimensional systems could be expressed clearly with a single angle measured from a reference axis, but adding an additional dimension means that one angle is no …
Cartesian coordinates
The Cartesian system is a "right-handed" coordinate system, which means that we can use the right-hand rule to determine the direction of the x, y and z axes. In 3D the x, y, z axes are oriented in right …
Right Hand Rule - Real World Physics Problems
Right Hand Rule The right hand rule is a visualization technique used to determine the correct direction of a vector resulting from vector cross-product multiplication. It is based on the following sign …