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Byju's Answer
Standard XII
Physics
Comparing Vectors
If a,b and ...
Question
If
a
,
b
and
c
are vectors such that
→
a
+
→
b
+
→
c
=
→
0
and
|
→
a
|
=
7
,
|
→
b
|
=
5
and
|
→
c
|
=
3
, then angle between
→
b
and
→
c
is
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Solution
Given
→
a
+
→
b
+
→
c
=
→
o
|
→
a
|
=
7
,
∣
∣
→
b
∣
∣
=
5
,
|
→
c
|
=
3
→
b
+
→
c
=
→
−
a
⇒
∣
∣
→
b
+
→
c
∣
∣
=
|
→
a
|
∣
∣
→
b
∣
∣
2
+
|
→
c
|
2
+
∣
∣
→
b
∣
∣
|
→
c
|
c
o
s
θ
=
|
→
a
|
2
25
+
9
+
30
c
o
s
θ
=
49
c
o
s
θ
=
1
/
2
⇒
θ
=
60
∘
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Similar questions
Q.
→
a
+
→
b
+
→
c
=
→
0
such that
|
→
a
|
=
3
,
|
→
b
|
=
5
and
|
→
c
|
=
7
.
Find cosine of the angle between
→
b
and
→
c
.
Q.
If
→
a
,
→
b
,
→
c
are vectors show that
→
a
+
→
b
+
→
c
= 0 and
|
→
a
|
= 3,
∣
∣
→
b
∣
∣
= 5,
|
→
c
|
= 7 then angle between vector
→
b
and
→
c
is
Q.
For any three vectors
→
a
,
→
b
and
→
c
, prove that
[
→
a
+
→
b
,
→
b
+
→
c
,
→
c
+
→
a
]
=
2
[
→
a
→
b
→
c
]
. Hence prove that the vectors
→
a
+
→
b
,
→
b
+
→
c
,
→
c
+
→
a
are coplanar. If and only if
→
a
,
→
b
,
→
c
are coplanar.
Q.
→
a
+
→
b
+
→
c
=
→
0
such that
|
→
a
|
=
3
,
|
→
b
|
=
5
and
|
→
c
|
=
7
.
What is the angle between
→
a
and
→
b
?
Q.
If
→
a
,
→
b
,
→
c
are unit vectors such that
→
a
is perpendicular to the
→
b
and
→
c
and angle between
→
b
and
→
c
is
π
3
, then value of
|
→
a
+
→
b
+
→
c
|
is
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