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Mathematics FROM 3

Chapter 6 VECTORS

DIRECTION OF A VECTOR

Given a vectorv=xi+yj, the direction of v

 

 
 

θ=tan-1(yx)

 

 

 

Example: Find the direction of the following vectors.

  1. M=23
  2. V=11

Solution

  1. M=23,           Þx=2 and y=3

θ=tan-1(yx),        Þθ=tan-1(32)=56.31°

  1. V=11,            ÞX=1 and y=1

θ=tan-1(yx),        Þ θ=tan-1(11)=45°

par Claude Foumtum