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1. Are those two vectors ##A_i## and ##B_j## unique?

2. How to find out ##A_i## and ##B_j##

3. As ##A_i## and ##B_j## has ##3+3 = 6## components in total (say, in 3-dimension), it turns out that we need only ##6## quantities to represent the ##9## components of the tensor ##T_{ij}##. Is that correct?