Let A & B be two vectors in 3-D Euclidean space. under Rotation the tensor product...

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Let A & B be two vectors in 3-D Euclidean space. under Rotation the tensor product Tij = Ai Bj a) reduces to a direct sum of 3-Dim representation b) is an irreducible a-Dim representation. c) reduces to a direct sum of 1-dim , 3- dim & an 8- dim. prreduciable representation. Let A & B be two vectors in 3-D Euclidean space. under Rotation the tensor product Tij = Ai Bj a) reduces to a direct sum of 3-Dim representation b) is an irreducible a-Dim representation. c) reduces to a direct sum of 1-dim , 3- dim & an 8- dim. prreduciable representation.

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