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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
,
→
b
 and
→
c
 be three vectors such that
→
a
++
→
b
+
→
c
=0 and |
→
a
|=10,|
→
b
|=6 and |
→
c
|=14
[NDA II 2016]
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