class 11th Addition of vector

ICSE/ CBSE Notes-

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 Addition of vector

Addition of vector can be occur when both vector are same types ie  two forces can added to each other ,and two velocities can added to each other but a force and a velocity can not be added because both are different vectors

Steps for adding two vectors:

1- if we want to adding vector A  and vector  first draw any one vector 

2-let we draw first vector A , now draw vector B such that the tail of vector B coincides with the tip of vector A

3- Now meet the  tail of vector A and tip of vector B that is resultant vector of A and B
where  R= A+ B

fig 1 


Triangle Law of vectors

According to triangle law of vectors if two vectors are represented in magnitude and direction by the two sides of a  the triangle taken in order  then the resultant is represented by the third side of  the triangle  taken in the opposite order . this is called triangle law of vectors.

The sum of two or more vectors is called  the resultant vectors


Let there are three vectors A,B,C then 

fig 2

Resultant vector of  vector A,B,C is
 R= A+B+C


Resultant vector of  vector A,B

                                                                            R= A+B


Resultant vector of  vector B,C


R= B+C

Note - The resultant vector is the vector which form the tail of the first vector to the tip of the last vector






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