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Byju's Answer
Standard XII
Physics
Multiplication with Vectors
lf A⃗,B⃗ an...
Question
lf
→
A
,
→
B
and
→
C
are non-zero vectors, and if
→
A
×
→
B
=
0
and
→
B
×
→
C
=
0
, then the value of
→
A
×
→
C
is:
A
1
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B
0
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C
B
2
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D
A
C
cos
θ
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Solution
The correct option is
C
0
→
A
and
→
B
are either collinear or parallel.
→
B
and
→
C
are either collinear or parallel.
Hence
→
A
and
→
C
are also either collinear or parallel.
So,
→
A
×
→
C
=
0
Suggest Corrections
0
Similar questions
Q.
If
→
a
+
→
b
+
→
c
=
0
, the prove that:
→
a
×
→
b
=
→
b
×
→
c
=
→
c
×
→
a
where
→
a
,
→
b
,
→
c
are non-zero vectors.
Q.
If
→
a
,
→
b
,
→
c
are non coplanar non zero vectors, then the value of
(
→
a
×
→
b
)
×
(
→
a
×
→
c
)
+
(
→
b
×
→
c
)
×
(
→
b
×
→
a
)
+
(
→
c
×
→
a
)
×
(
→
c
×
→
b
)
is
Q.
If
(
→
a
×
→
b
)
×
→
c
=
→
a
×
(
→
b
×
→
c
)
where
→
a
,
→
b
and
→
c
are any three vectors such that
→
a
.
→
b
≠
0
,
→
b
.
→
c
≠
0
then
→
a
and
→
c
are
Q.
If
→
a
,
→
b
,
→
c
are three non-coplanar non-zero vectors and
→
r
is any vector, then
(
→
a
×
→
b
)
×
(
→
r
×
→
c
)
+
(
→
b
×
→
c
)
×
(
→
r
×
→
a
)
+
(
→
c
×
→
a
)
×
(
→
r
×
→
b
)
=
Q.
If
→
a
,
→
b
,
→
c
are three vectors such that
→
a
+
→
b
+
→
c
=
→
0
,
then prove that
→
a
×
→
b
=
→
b
×
→
c
=
→
c
×
→
a
,
and hence show that
[
→
a
→
b
→
c
]
=
0.
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