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Byju's Answer
Standard XII
Mathematics
Collinear Vectors
If |a⃗|=8, ...
Question
If
|
→
a
|
=
8
,
|
→
b
|
=
3
and
|
→
a
×
→
b
|
=
12
, find the angle between
→
a
and
→
b
.
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Solution
According to the question
|
→
a
|
=
8
;
∣
∣
→
b
∣
∣
=
3
;
∣
∣
→
a
×
→
b
∣
∣
=
12
⇒
|
a
|
|
b
|
sin
θ
=
12
∴
sin
θ
=
12
24
=
1
2
∴
θ
=
30
°
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