2. If |𝜓⟩ = |𝜙1⟩ + |𝜙2⟩ and |𝜒⟩ = |𝜙1⟩ − |𝜙2⟩ , Show that ⟨𝜓|𝜓⟩ + ⟨𝜒|𝜒⟩ = 2⟨𝜙1|𝜙1⟩ + 2⟨𝜙2|𝜙2⟩

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2. If |𝜓⟩ = |𝜙1⟩ + |𝜙2⟩ and |𝜒⟩ = |𝜙1⟩ − |𝜙2⟩ , Show that ⟨𝜓|𝜓⟩ + ⟨𝜒|𝜒⟩ = 2⟨𝜙1|𝜙1⟩ + 2⟨𝜙2|𝜙2⟩

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