The angle between two vectors
r
A and
r
B is q.
Resultant of these vectors
r
R makes an angle q
2
with
r
A which of the following is true :-
(1) =
r r
A 2B (2) =
r
r B
A
2
(3) =
r r
|A||B| (4) AB = 1
Answers
Answered by
0
Answer:
The 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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