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A = {{1, 2}, {3, 4}};
Eigenvectors[A]

Result:

{{1/6 (-3 + Sqrt[33]), 1}, {1/6 (-3 - Sqrt[33]), 1}}

Now I want to set v1=eigenvector 1 and v2=eigenvector 2. How to modify the code?

use something like /.??

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{v1,v2}=Eigenvectors[A]

should work

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