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KEAM 2018 Math Paper
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© examsnet.com
Question : 54
Total: 120
If
|
−
a
−
−
b
|
=
|
−
a
|
=
|
−
b
|
=
1
,
then the angle between
−
a
and
−
b
is equal to
π
3
3
π
4
π
2
0
π
Validate
Solution:
|
→
a
−
→
b
|
=
|
→
a
|
=
|
→
b
|
=
1
|
→
a
−
→
b
|
2
=
a
2
+
b
2
−
2
→
a
⋅
→
b
1
=
1
+
1
−
2
|
→
a
|
|
→
b
|
cos
θ
cos
θ
=
1
2
⇒
cos
π
3
θ
=
π
3
© examsnet.com
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