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In the present paper some aspects of tensor algebra, tensor product, exterior algebra, symmetric algebra, module of section, graded algebra, vector subbundle are studied. A Theorem 1.32. is established by using sections and fibrewise orthogonal sections of an application of Gran-Schmidt.doi:10.3329/dujs.v62i1.21957 fatcat:xed2xez5jzc7llmldny6r7fhvm