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Problem 1 Decompose the vector 2 = (6,5) with respect to the orthonormal base g, L? below. Hint: one way to solve this problem is

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Problem 1 Decompose the vector 2 = (6,5) with respect to the orthonormal base g, L? below. Hint: one way to solve this problem is to nd the scalars a,/)' such that 2 = (19 + [517 (as demonstrated in class). Alternatively, you may instead calculate the projections (i.e. dot products) of E onto the directions of the vectors 9,19

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