Two vectors A and are added as shown in figure. If
angle between A and B is $, then angle between A and
resultant vector R is
B*
R=A+8
G
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2
Answer:
angle α which the resultant R makes with A is given by
tanα=
A+Bcosθ
Bsinθ
or
cos(θ/2)
sin(θ/2)
=
A+Bcosθ
2Bsin(θ/2)cos(θ/2)
which gives A+Bcosθ=2Bcos
2
(
2
θ
)
or A+B[2cos
2
(
2
θ
)−1]=2Bcos
2
(
2
θ
)
A=B
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