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Write a program that lets a user enter two vectors, a and b, of arbitrary dimension. you should allow the user to first enter the dimension of the vector, then get the elements of the two vectors from the user. then, you should output (in a clearly labeled way), the results of these computations: • the magnitude of vector a and the magnitude of vector b • a +b a-b • and the dot product (inner product) of a and b note: you should use lists when solving this problemy. later we will see some other ways to work with vectors more directly.

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