Euclidean geometry | Functions and mappings | Transformation (function) | Linear algebra
In mathematics, a rotation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x′y′-Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle . A point P has coordinates (x, y) with respect to the original system and coordinates (x′, y′) with respect to the new system. In the new coordinate system, the point P will appear to have been rotated in the opposite direction, that is, clockwise through the angle . A rotation of axes in more than two dimensions is defined similarly. A rotation of axes is a linear map and a rigid transformation. (Wikipedia).
What is the difference between rotating clockwise and counter clockwise
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
Determining clockwise vs counter clockwise rotations
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
Rotations in degrees for counter and clockwise directions
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
7 Rotation of reference frames
Ever wondered how to derive the rotation matrix for rotating reference frames? In this lecture I show you how to calculate new vector coordinates when rotating a reference frame (Cartesian coordinate system). In addition I look at how easy it is to do using the IPython notebook and SymPy
From playlist Life Science Math: Vectors
How do the rotations of counter clockwise and clockwise similar
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
Linear Algebra: Rotation Transformations
Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/
From playlist Basics: Linear Algebra
How to determine the rotation of a heart
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
ʕ•ᴥ•ʔ Simple Example of Geometry Transformations Rotations
Quickly master rotation symmetry and transformation. Watch more lessons like this and try our practice at https://www.studypug.com/geometry/transformations/rotational-symmetry-and-transformations When an object is turned around its center of rotation to certain degrees and the object loo
From playlist Grade 9 Math (Canada)
MIT 3.60 | Lec 8b: Symmetry, Structure, Tensor Properties of Materials
Part 2: Diffraction, 3D Symmetries View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material
MIT 3.60 | Lec 10a: Symmetry, Structure, Tensor Properties of Materials
Part 1: 3D Symmetries, Point Groups View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material
[Lesson 13] QED Prerequisites - The Pauli Spin Matrices...from scratch!
The purpose of this video is to motivate the Pauli Spin matrices from first principles. We will use these matrices a lot during the study of QED and it is critical that every aspect of their design and origin is well understood. This video begins by describing what it means to "rotate a sp
From playlist QED- Prerequisite Topics
MIT 3.60 | Lec 11a: Symmetry, Structure, Tensor Properties of Materials
Part 1: Point Groups View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material
Chemistry 107. Inorganic Chemistry. Lecture 01
UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 01. Inorganic Chemistry -- Course Introduction & Symmetry of Nature View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Matthew D. Law License: Creative Commons CC-BY-SA Terms of Use: http://
From playlist Chem 107: Week 1
Chemistry 107. Inorganic Chemistry. Lecture 02
UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 02. Inorganic Chemistry -- Symmetry and Point Groups View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Matthew D. Law License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/inf
From playlist Chem 107: Week 1
Thermodynamics and Chemical Dynamics 131C. Lecture 06. The Rotational Partition Function.
UCI Chem 131C Thermodynamics and Chemical Dynamics (Spring 2012) Lec 06. Thermodynamics and Chemical Dynamics -- The Rotational Partition Function -- View the complete course: http://ocw.uci.edu/courses/chem_131c_thermodynamics_and_chemical_dynamics.html Instructor: Reginald Penner, Ph.D.
From playlist Chemistry 131C: Thermodynamics and Chemical Dynamics
11. Mass Moment of Inertia of Rigid Bodies
MIT 2.003SC Engineering Dynamics, Fall 2011 View the complete course: http://ocw.mit.edu/2-003SCF11 Instructor: J. Kim Vandiver License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 2.003SC Engineering Dynamics, Fall 2011
Rotating a parallelogram 270 degrees counterclockwise
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
A point multiplied by the rotation matrix is rotated by theta degrees. What is the rotation matrix, though, and why?
From playlist Fun
How does the fixed point affect our rotation
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
Chemistry 107. Inorganic Chemistry. Lecture 05
UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 05. Inorganic Chemistry -- A Second Application of Symmetry View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Matthew D. Law License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.
From playlist Chem 107: Week 2