hi friend its eazy
let

be the angle between the vector A and B
then let R be the resultant
thenyou know tha if R is

to A then R.A=0
R=A+B
R.A=A^2+ABcos

A mag =Bcos

now you know that
(A+B) mag=R mag=B/2mag-----------------------mag is magnitude
take the components of A on x axis and Y axis
taking the angle with negative x axis to be 180-

and replace the value of A in(A+B) mag=R mag=B/2mag by Bcos

and you will see that B cancells out you will get value of

easily
bye
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