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11. Let (a,b,c) be a basis lattice vectors for a direct lattice and (A,B,C) be the basis lattice vectors for the reciprocal lattice defined by

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11. Let (a,b,c) be a basis lattice vectors for a direct lattice and (A,B,C) be the basis lattice vectors for the reciprocal lattice defined by Eq. ( 1.16). Prove that the volume defined by these vectors is given by: A(BC)=a(bc)83. Eq. (1.16) A=2a(bc)bcB=2a(bc)caC=2a(bc)ab

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