Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.9

Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

Unpacked Content

Knowledge

Students know:
  • If a vector is transposed in the xy-plane, it retains its magnitude and direction.

Skills

Students are able to:
  • Transpose a vector from one position to another position in the xy-plane.
  • Find the component form of a vector.

Understanding

Students understand that:
  • Vectors having the same magnitude and direction are equivalent regardless of where they are in the xy-plane.
  • Vectors in standard position have a terminal point that is equal to the components of the vector.

Vocabulary

  • Components
  • Initial Point
  • Terminal Point
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