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UPSC NDA 2 2016 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow:
Let
→
a
=
⋀
i
+
⋀
j
,
→
b
=3
⋀
i
+4
⋀
k
 and
→
b
=
→
c
+
→
d
,where
→
c
 is parallel to
→
a
 and
→
d
 is perpendicular to
→
a
[NDA II 2016]
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