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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=4i^8j^+k^\vec{a}=4\hat{i}-8\hat{j}+\hat{k} make angles α,β,γ\alpha, \beta, \gamma with the positive directions of x,y,zx, y, z axes respectively.
[NDA I 2023]
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