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Byju's Answer
Standard XII
Mathematics
Angle between Two Vectors
If a,b,c are ...
Question
If
→
a
,
→
b
,
→
c
are non-coplanar vectors, then the number of real value(s) of
λ
for which
[
λ
(
→
a
+
→
b
)
λ
2
→
b
λ
→
c
]
=
[
→
a
→
b
+
→
c
→
b
]
,
is
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Solution
Given :
[
λ
(
→
a
+
→
b
)
λ
2
→
b
λ
→
c
]
=
[
→
a
→
b
+
→
c
→
b
]
⇒
λ
⋅
λ
2
⋅
λ
[
→
a
+
→
b
→
b
→
c
]
=
[
→
a
→
c
→
b
]
+
0
⇒
λ
4
(
[
→
a
→
b
→
c
]
+
0
)
=
−
[
→
a
→
b
→
c
]
⇒
λ
4
=
−
1
So, there is no possible value of
λ
exist.
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If
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b
,
→
c
are non coplanar vectors and
λ
is a real number, then
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λ
(
→
a
+
→
b
)
λ
2
→
b
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c
]
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If
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a
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,
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r
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×
→
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→
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]
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Standard XII Mathematics
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