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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?
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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?
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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.
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Description
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.
