Addition vectors in 2-space

Add2[A_, B_] := Plus[A, B]

Add2[a2, b2]//MatrixForm

( {{a0 + b0}, {{ax + bx, ay + by}}, {ai + bi}} )

Add2[avec, bvec]//MatrixForm

( {{0}, {{ax + bx, ay + by}}, {0}} )

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