(a) Show that in an inner product space, x ⊥ y if and only if we have ||x ay|| = ||x - ay|| for all scalars α.(b) Show that in an inner product space, x ⊥ y if and only if ||x ay|| ≥ ||x|| for all scalars α.
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(a) Show that in an inner product space, x ⊥ y if and only if we have ||x ay|| = ||x - ay|| for all scalars α.(b) Show that in an inner product space, x ⊥ y if and only if ||x ay|| ≥ ||x|| for all
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