Class 11 Physics Motion In A Plane Unit Vectors

Unit Vectors

A unit vector is a vector of unit magnitude and a particular direction.

  • They specify only direction. They do not have any dimension and unit.
  • In a rectangular coordinate system, the x, y and z axes are represented by unit vectors, î,ĵ andk̂
  • These unit vectors are perpendicular to each other.
  • |î| = |ĵ | = |k̂| = 1

In a 2-dimensional plane, a vector thus can be expressed as:

  1. A = Ax î +Ay ĵ where, Ax = A cosθ and Ay = A sinθ
  2. A = 

 

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