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Byju's Answer
Standard XII
Physics
Multiplication with Vectors
If A×B=B×A, t...
Question
If
→
A
×
→
B
=
→
B
×
→
A
, then the angle between
→
A
and
→
B
is
A
π
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B
π
3
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C
π
2
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D
π
4
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Solution
The correct option is
A
π
(
→
A
×
→
B
)
=
(
→
B
×
→
A
)
⇒
(
→
A
×
→
B
)
−
(
→
B
×
→
A
)
=
→
0
[
∵
(
→
B
×
→
A
)
=
−
(
→
A
×
→
B
)
]
⇒
(
→
A
×
→
B
)
+
(
→
A
×
→
B
)
=
→
0
⇒
2
(
→
A
×
→
B
)
=
→
0
∣
∣
∣
2
(
→
A
×
→
B
)
∣
∣
∣
=
∣
∣
∣
→
0
∣
∣
∣
⇒
2
A
B
sin
θ
=
0
[
∵
∣
∣
∣
→
A
∣
∣
∣
=
A
≠
0
,
∣
∣
∣
→
B
∣
∣
∣
=
B
≠
0
]
⇒
sin
θ
=
0
∴
θ
=
0
or
π
Hence option
(
a
)
is correct.
Suggest Corrections
0
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Multiplication with Vectors
Standard XII Physics
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