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Byju's Answer
Standard XII
Mathematics
Relation between Radian and Degree
If a⃗ and ...
Question
If
→
a
and
→
b
are two perpendicular unit vectors then
→
a
×
(
→
a
×
→
b
)
is equal to
A
−
→
a
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B
→
a
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C
→
b
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D
−
→
b
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Solution
The correct option is
C
−
→
b
Given that
|
a
|
=
|
b
|
=
1
and
a
.
b
=
0
Now,
→
a
×
(
→
a
×
→
b
)
=
(
→
a
.
→
b
)
→
a
−
(
→
a
.
→
a
)
→
b
=
−
→
b
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0
Similar questions
Q.
I : If
|
→
a
+
→
b
|
=
|
→
a
−
→
b
|
, then
(
→
a
,
→
b
)
=
π
2
.
II : If
→
a
,
→
b
,
→
a
+
→
b
are unit vectors, then
(
→
a
,
→
b
)
=
2
π
3
.
Q.
If
→
a
and
→
b
are unit vectors and
|
→
a
+
→
b
|
=
1
then
|
→
a
−
→
b
|
is equal to.
Q.
Show that
|
→
a
|
→
b
+
|
→
b
|
→
a
is perpendicular to
|
→
a
|
→
b
−
|
→
b
|
→
a
, for any two nonzero vectors
→
a
and
→
b
.
Q.
Show that
|
→
a
|
→
b
+
|
→
b
|
→
a
is perpendicular to
|
→
a
|
→
b
−
|
→
b
|
→
a
for any two nonzero vectors
→
a
and
→
b
Q.
If
→
a
,
→
b
,
→
c
are unit vectors such that
→
a
+
→
b
+
→
c
=
→
0
and
(
→
a
,
→
b
)
=
π
3
then
|
→
a
×
→
b
|
+
|
→
b
×
→
c
|
+
|
→
c
×
→
a
|
=
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