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Byju's Answer
Standard XII
Mathematics
Union of Sets
For any three...
Question
For any three number
→
a
,
→
b
and
→
c
show that:
→
a
×
(
→
b
+
→
c
)
+
→
b
×
(
→
c
+
→
a
)
+
→
c
×
(
→
a
+
→
b
)
=
0
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Solution
¯
a
×
(
→
b
+
→
c
)
+
→
b
×
(
→
c
+
→
a
)
+
→
c
×
(
→
a
+
→
b
)
=
→
a
×
→
b
+
→
a
×
→
c
+
→
b
×
→
c
+
→
b
×
a
+
→
c
×
→
a
+
→
c
×
→
b
=
→
a
×
→
b
+
→
a
×
→
c
+
→
b
×
→
c
−
→
a
×
→
b
−
→
a
×
→
c
−
→
b
×
→
c
=
0
=
R
H
S
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Similar questions
Q.
For any three vectors
→
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,
→
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(
→
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−
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→
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∩
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[
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a
+
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=
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Q.
Prove that for any three vectors a, b, c [b + c c + a a + b] = 2 [abc].
Q.
Show that in any
△
A
B
C
a
sin
(
B
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Standard XII Mathematics
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