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Course: Class 11 Physics (India) > Unit 7

Lesson 8: Component form of vectors
Science
Class 11 Physics (India)
Vectors (Prerequisite)
Component form of vectors
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Graphical to unit vector notation

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Problem

Shown below is vector A of length 12 m.
The angle made with the y axis is θ=60°.
Represent the vector in unit vector notation.
Note: Assume positive x towards right and positive y in the upward direction. Also, cos⁡60°=0.5, sin⁡60°≈0.87
A=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
i^ +
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
j^