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Byju's Answer
Standard XII
Physics
Vector Component
If for vector...
Question
If for vectors
→
a
and
→
b
,
|
→
a
|
=
4
,
∣
∣
→
b
∣
∣
=
3
and
→
a
→
b
=
8
, then find
∣
∣
→
a
×
→
b
∣
∣
.
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Solution
|
→
a
×
→
b
|
=
|
→
a
|
|
→
b
|
s
i
n
θ
θ
is the angle between two vectors given
→
a
.
→
b
=
|
→
a
|
|
→
b
|
c
o
s
θ
⟹
8
=
4
×
3
×
c
o
s
θ
⟹
c
o
s
θ
=
2
3
⟹
s
i
n
θ
=
√
5
3
|
→
a
×
→
b
|
=
|
→
a
|
|
→
b
|
s
i
n
θ
⟹
|
→
a
×
→
b
|
=
4
×
3
×
√
5
3
⟹
|
→
a
×
→
b
|
=
4
√
5
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0
Similar questions
Q.
ABCD is parallelogram. If
→
A
B
=
→
a
,
→
B
C
=
→
b
then show that
→
A
B
=
→
a
,
+
→
b
and
→
B
D
=
→
b
,
−
→
a
?
Q.
Find
∣
∣
→
a
−
→
b
∣
∣
, if two vectors
→
a
and
→
b
are such that
|
→
a
|
=
2
,
∣
∣
→
b
∣
∣
=
3
and
→
a
.
→
b
=
4
.
Q.
If
|
→
a
|
=
2
and
|
→
b
|
=
3
and
→
a
→
b
=
0
, then
(
→
a
×
(
→
a
×
(
→
a
×
(
→
a
×
→
b
)
)
)
)
is equal to
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.
Find
|
→
a
−
→
b
|
, if two vectors
→
a
and
→
b
are such that
|
→
a
|
=
2
,
|
→
b
|
=
3
and
→
a
.
→
b
=
4
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