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Byju's Answer
Standard XII
Mathematics
Scalar Triple Product
For any three...
Question
For any three vectors,
→
a
,
→
b
,
→
c
, the value of
(
→
a
−
→
b
)
⋅
(
→
b
−
→
c
)
×
(
→
c
−
→
a
)
is:
A
→
b
⋅
(
→
c
×
→
a
)
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B
2
→
b
⋅
(
→
a
×
→
c
)
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C
0
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D
2
→
a
⋅
(
→
b
×
→
c
)
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Solution
The correct option is
C
0
Let
(
→
a
−
→
b
)
⋅
(
→
b
−
→
c
)
×
(
→
c
−
→
a
)
=
E
⇒
E
=
[
→
a
→
b
→
c
]
∣
∣ ∣
∣
1
−
1
0
0
1
−
1
−
1
0
1
∣
∣ ∣
∣
⇒
E
=
[
→
a
→
b
→
c
]
(
1
(
1
−
0
)
+
1
(
0
−
1
)
+
0
)
⇒
E
=
[
→
a
→
b
→
c
]
×
0
=
0
Suggest Corrections
0
Similar questions
Q.
For any three vectors
→
a
,
→
b
,
→
c
,
(
→
a
−
→
b
)
.
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−
→
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×
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Q.
If
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If
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)
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Q.
If
→
a
,
→
b
,
→
c
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→
a
+
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b
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→
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c
and
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a
are coplanar.
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