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Byju's Answer
Standard VIII
Physics
Change of State
Prove that, a...
Question
Prove that, }\lbrack\overline a×\overline{bb}×\overline{cc}×\overline a\rbrack=\lbrack\overline a\overline b\overline c\rbrack^2
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Q.
For two complex numbers
z
1
and
z
2
:
(
a
z
1
+
b
¯
¯¯¯
¯
z
1
)
(
c
z
2
+
d
¯
¯¯¯
¯
z
2
)
=
(
c
z
1
+
d
¯
¯¯¯
¯
z
1
)
(
a
z
2
+
b
¯
¯¯¯
¯
z
2
)
if
(
a
,
b
,
c
,
d
∈
R
)
Q.
If the points with position vectors
10
¯
i
+
3
¯
j
,
12
¯
i
−
5
¯
j
and
a
¯
i
+
11
¯
j
are collinear,
then the value of a is
___
Q.
Given:
¯
¯¯¯¯¯¯
¯
A
C
≅
¯
¯¯¯¯¯¯¯
¯
B
D
,
¯
¯¯¯¯¯¯
¯
B
C
≅
¯
¯¯¯¯¯¯¯
¯
A
D
. PRove that
¯
¯¯¯¯¯¯¯
¯
C
K
≅
¯
¯¯¯¯¯¯¯
¯
D
K
Q.
Using properties of scalar triple product, prove that
[
¯
¯
¯
a
+
¯
¯
b
¯
¯
b
+
¯
¯
c
¯
¯
c
+
¯
¯
¯
a
]
=
2
[
¯
¯
¯
a
¯
¯
b
¯
¯
c
]
.
Q.
Prove that
¯
¯
¯
a
=
(
4
,
−
3
,
1
)
,
¯
¯
b
=
(
2
,
−
4
,
5
)
and
¯
¯
c
=
(
1
,
−
1
,
0
)
are vertices of a right angle.
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