UPSC NDA I 2014 Mathematics Paper

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For the next two (02) items that follow:
Consider the vectors
→
a
=
∧
i
−2
∧
j
+
∧
k
and
→
b
=4
∧
i
−4
∧
j
+7
∧
k
[NDA I 2014]
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Question : 70 of 120
 
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What is the vector perpendicular to both the vectors?
[NDA I 2014]
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