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Suppose u, and v are vectors in R m, such that ∥u∥ = 1, ∥v∥ =...

Suppose u, and v are vectors in R m, such that ∥u∥ = 1, ∥v∥ = 4, ∥u + v∥ = 5. Find the inner product 〈u, v〉.

(b) Suppose {a1, · · · ak} are orthonormal vectors in R m.

Show that {a1, · · · ak} is a linearly independent set

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