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Standard XII
Maths
Question
¯
a
,
¯
b
¯
c
are mutually perpendicular vectors forms a right handed triad.If
¯
a
=
4
,
¯
b
=
2
,
¯
c
=
8
then
[
a
b
c
]
64
0
3
14
A
64
B
3
C
0
D
14
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Solution
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2
Similar Questions
Q1
If
¯
a
,
¯
b
and
¯
c
are three mutually orthogonal unit vectors, then the absolute value of
[
¯
a
+
¯
b
+
¯
c
¯
a
+
¯
b
¯
b
+
¯
c
]
equals
View Solution
Q2
If
¯
a
,
¯
b
,
¯
c
are three vectors such that
|
¯
a
|
=
5
,
∣
∣
¯
b
∣
∣
=
12
,
|
¯
c
|
=
13
and
¯
a
,
¯
b
,
¯
c
are perpendicular to
¯
b
+
¯
c
,
¯
c
+
¯
a
,
¯
a
+
¯
b
respectively, then
∣
∣
¯
a
+
¯
b
+
¯
c
∣
∣
=
View Solution
Q3
¯
a
=
x
^
i
+
y
^
j
+
z
^
k
,
¯
b
=
^
j
then the vector
¯
c
for which
¯
a
,
¯
b
,
¯
c
form a right hand triad
View Solution
Q4
If
¯
a
,
¯
b
,
¯
c
are unit vectors and
¯
b
,
¯
c
are non collinear vectors satisfying.
(
¯
a
,
¯
b
)
=
a
,
(
¯
a
,
¯
c
)
=
β
and
¯
a
×
(
¯
b
×
¯
c
)
=
¯
b
+
¯
c
2
then
c
o
s
(
a
+
β
)
=
View Solution
Q5
If
¯
a
,
¯
b
,
¯
c
are three vectors such that
¯
a
+
¯
b
+
¯
c
=
0
,
|
¯
a
|
=
1
,
|
¯
b
|
=
2
,
|
¯
c
|
=
3
, then
¯
a
⋅
¯
b
+
¯
b
⋅
¯
c
+
¯
c
⋅
¯
a
is equal to
View Solution
