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Byju's Answer
Standard XII
Mathematics
Angle between Two Lines
If two vector...
Question
If two vectors
→
a
and
→
b
are such that
|
→
a
|
=
6
,
|
→
b
|
=
3
and
→
a
⋅
→
b
=
9
,
then the value of
|
→
a
×
→
b
|
is _____
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Solution
Given,
|
→
a
|
=
6
,
|
→
b
|
=
3
and
→
a
.
→
b
=
9
We know that,
→
a
.
→
b
=
|
→
a
|
|
→
b
|
cos
θ
⇒
9
=
6
⋅
3
⋅
cos
θ
⇒
cos
θ
=
1
2
⇒
θ
=
60
∘
Now,
|
→
a
×
→
b
|
=
|
→
a
|
|
→
b
|
sin
θ
=
6
×
3
sin
(
60
∘
)
=
9
√
3
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Q.
If vectors
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=
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=
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