Podcast
Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App
Questions and Answers
Which coordinate system is commonly used in classical mechanics?
Which coordinate system is commonly used in classical mechanics?
- Cartesian coordinate system (correct)
- Spherical coordinate system
- Cylindrical coordinate system
- Polar coordinate system
What are the unit vectors in the Cartesian coordinate system called?
What are the unit vectors in the Cartesian coordinate system called?
- x,y,z
- i,j,k (correct)
- u,v,w
- a,b,c
How can a vector be represented in the Cartesian coordinate system?
How can a vector be represented in the Cartesian coordinate system?
- As a scalar multiple of the unit vectors
- As a product of its components
- As a sum of its components
- As a sum of its projections onto vectors of the Cartesian basis (correct)
What are the components of a vector associated with in the Cartesian coordinate system?
What are the components of a vector associated with in the Cartesian coordinate system?
Signup and view all the answers
Do the components of a vector change with the basis in the Cartesian coordinate system?
Do the components of a vector change with the basis in the Cartesian coordinate system?
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
Coordinate Systems in Classical Mechanics
- The Cartesian coordinate system is commonly used in classical mechanics.
Vectors in Cartesian Coordinate System
- The unit vectors in the Cartesian coordinate system are called i, j, and k.
- A vector can be represented in the Cartesian coordinate system using the notation: r = xi + yj + zk.
- The components of a vector associated with the Cartesian coordinate system are its x, y, and z components.
- The components of a vector change with the basis in the Cartesian coordinate system.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
