When to use rotation around the z axis?
Useful for more complex rotations, not aligned to local or world axis. Useful for complex composite rotations. Not the case here, but in case the rotation to be applied was the product of a series of sub-rotations being precalculated before being applied. Quaternions are added onto eachother by multiplication.
How to rotate around the axis of a Vector3?
Then, whenever you need to set just the Z of a Vector3, use the extension method. In this case: Useful for simple axis-aligned rotations. Defaults to local space (relative to the transform), but a fourth, Space.World parameter can be used to rotate around world axis.
How is a Rotz matrix used to rotate a vector?
R = rotz (ang) creates a 3-by-3 matrix used to rotate a 3-by-1 vector or 3-by-N matrix of vectors around the z-axis by ang degrees. When acting on a matrix, each column of the matrix represents a different vector.
Which is the matrix for rotation around x axis?
The rotation matrices that rotate a vector around the x, y, and z-axes are given by: Counterclockwise rotation around x-axis. Counterclockwise rotation around y-axis. Counterclockwise rotation around z-axis.
How to animate object rotation on a single local axis?
An example would be a wheel rotating on an axle. You can simply use the Copy Rotation contraint: Select your object, switch to Constraints tab in Properties Editor, add a Copy Rotation constraint, set the empty as Target, toggle Offset, set Local Space as the owner space (current object). Then you control the rotation by rotating the empty.
How are the orientation and position of an object represented?
Rotations and Orientation. Position and Orientation. The position of an object can be represented as a translation of the object from the origin The orientation of an object can be represented as a rotation of an object from its original unrotated orientation.