Science, asked by king2647, 8 months ago

The |⃗A +B ⃗⃗| = |⃗A| + |⃗⃗B|, then angle

between ⃗A ⃗⃗B will be​

Answers

Answered by joshitha92
0
Answer:

⃗+⃗=−⃗
a

+
b

=

c


Taking self dot product we get

(⃗+⃗)⋅(⃗+⃗)=(−⃗)⋅(−⃗)
(
a

+
b

)

(
a

+
b

)
=
(

c

)

(

c

)

2+⃗⋅⃗+⃗⋅⃗+2=2
a
2
+
a


b

+
a


b

+
b
2
=
c
2

2⃗⋅⃗=2−2−2
2
a


b

=
c
2

a
2

b
2

2cos=2−2−2
2
a
b
cos

θ
=
c
2

a
2

b
2

cos=2−2−22
cos

θ
=
c
2

a
2

b
2
2
a
b

Now, setting the values of =3,=5,=7
a
=
3
,
b
=
5
,
c
=
7
, the angle (
θ
) between ⃗
a

& ⃗
b

is given as

cos=72−32−522⋅3⋅5
cos

θ
=
7
2

3
2

5
2
2

3

5

cos=12
cos

θ
=
1
2

cos=cos60∘
cos

θ
=
cos

60


=60∘
θ
=
60




Hope this answer helps you

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