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

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

Suppose {a1, · · · ak} are orthonormal vectors in R m. Show that{a1, · · · ak} is a linearly independent set.

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