JEE Main & Advanced Physics Vectors Polygon Law of Vector Addition

Polygon Law of Vector Addition

Category : JEE Main & Advanced

If a number of non zero vectors are represented by the (n - 1) sides of an n-sided polygon then the resultant is given by the closing side or the nth side of the polygon taken in opposite order. So,

\[\overrightarrow{R}=\overrightarrow{A}+\overrightarrow{B}+\overrightarrow{C}+\overrightarrow{D}+\overrightarrow{E}\]

\[\overrightarrow{OA}+\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{CD}+\overrightarrow{DE}=\overrightarrow{OE}\]

Note : 

  • Resultant of two unequal vectors can not be zero.            
  • Resultant of three co-planar vectors may or may not be zero            
  • Resultant of three non co- planar vectors can not be zero.    


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