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UPSC NDA I 2023 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow :
Let a vector
→
a
=4
^
i
−8
^
j
+
^
k
 make angles α,β,γ with the positive directions of x,y,z axes respectively.
[NDA I 2023]
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What is cos‌α equal to?
[NDA I 2023]
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