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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