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Manipal Entrance Test 2017 Math Paper
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© examsnet.com
Question : 55
Total: 70
If
a
,
b
,
c
are any three mutually perpendicular vectors of equal magnitude
a
, then
|
a
+
b
+
c
|
a
√
2
a
√
3
a
2
a
Validate
Solution:
|
a
+
b
+
c
|
2
=
|
a
|
2
+
|
b
|
2
+
|
c
|
2
+
2
(
a
.
b
+
b
.
c
+
c
.
a
)
=
a
2
+
a
2
+
a
2
(∵ a, b and c are mutually perpendicular)
⇒
|
a
+
b
+
c
|
=
√
3
a
© examsnet.com
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