5 Questions
Which coordinate system is commonly used in classical mechanics?
Cartesian coordinate system
What are the unit vectors in the Cartesian coordinate system called?
i,j,k
How can a vector be represented in the Cartesian coordinate system?
As a sum of its projections onto vectors of the Cartesian basis
What are the components of a vector associated with in the Cartesian coordinate system?
Cartesian basis
Do the components of a vector change with the basis in the Cartesian coordinate system?
Yes, they change
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.
Test your knowledge of vectors in a rectangular frame of reference. This quiz explores the concept of Euclidean space, Cartesian coordinate systems, and unit vectors.
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