Vector Mastery

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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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