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Manipal Entrance Test 2018 Math Paper
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© examsnet.com
Question : 48
Total: 70
If
|
a
+
b
|
=
|
a
−
b
|
,
then
a
and
b
are
parallel
perpendicular
angle between a and b is 45°
angle between a and b is 60°
Validate
Solution:
Given,
|
a
+
b
|
=
|
a
−
b
|
⇒
|
a
+
b
|
2
=
|
a
−
b
|
2
⇒
|
a
|
2
+
|
b
|
2
+
2
a
.
b
=
|
a
|
2
+
|
b
|
2
−
2
a
.
b
⇒
4
a
.
b
=
0
Hence, a is perpendicular to b.
© examsnet.com
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