Class 11th Parallelogram Law of Vector Addition

ICSE/ CBSE Notes-

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 Parallelogram  Law of Vector Addition

According to parallelogram law of vector addition  if two vectors act along the same point  ie tail of both vectors is acting at one point and tips are outward of both vectors .

"If two vectors acting along the adjacent sides of parallelogram then the resultant is represented by the diagonal of the parallelogram passing through the same common vertex is called parallelogram law of vector addition"

fig -1

Let A and B are  two vectors  and Ө is the angle between them

PQ  represented the vector A

PS represents the vector  B

PR represented the  resultan vector   R  which make an angle α  from vector A

NOW  we draw the perpendicular RT on PQ  here angle  T =90*

By applying Pythagoras theorem -

1- If both  vectors  A and  B are in same direction  then angle between them is zero

         

                                                              Resultants  R= A+B

2-  If both  vectors  A and  B are in opposite direction  then angle between them is 180*

Resultants  R=A-B

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