a. Let (e1, e2, e2) be unit vectors of a right-handed, orthogonal coordinate system. Showthat the Levi-Civit`a

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a. Let (ˆe1, ˆe2, ˆe2) be unit vectors of a right-handed, orthogonal coordinate system. Showthat the Levi-Civit`a symbol satisfies


b. Prove that


c. Prove that: 


d. In quantum mechanics, the Cartesian components of the angular momentum operator ˆL obey the commutation relation. Let a and b be constant vectors and prove the commutator identity.

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