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Byju's Answer
Standard XII
Mathematics
Multiplication of Matrices
Let V be a un...
Question
Let
→
v
be a unit vector which follows the equation
→
v
×
→
b
=
→
c
. Also,
|
→
b
|
=
2
and
|
→
c
|
=
√
3
then
→
v
=
x
→
b
+
y
→
b
×
→
c
, then the value
2
(
x
+
y
)
is
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Solution
→
b
×
(
→
v
×
→
b
)
=
→
b
×
→
c
4
→
v
−
(
→
b
.
→
v
)
→
b
=
→
b
×
→
c
|
→
v
×
→
b
|
=
|
→
c
|
⇒
|
→
v
|
|
→
b
|
sin
θ
=
|
→
c
|
2
|
→
v
|
sin
θ
=
√
3
⇒
sin
θ
=
√
3
2
,
cos
θ
=
1
2
⇒
4
→
v
−
(
2
×
1
×
1
2
)
→
b
=
→
b
×
→
c
→
v
=
1
4
(
→
b
+
→
b
×
→
c
)
x
=
1
4
,
y
=
1
4
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Q.
Let
_
v
be a unit vector which follows the equation,
_
v
×
_
b
=
_
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_
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