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What is the geometric interpretation of ...

What is the geometric interpretation of the identity `(vec(a)-vec(b))xx(vec(a)+vec(b))=2(vec(a)xxvec(b))`?
1. If the diagonals of a given parallelogram are used as sides of a second parallelogram, then the area of the second parallelogram is twice that of the given parallelogram.
2. If the semi-diagonals of a given parallelogram are used as sides of a second parallelogram, then the area of the second parallelogram is half that of the given parallelogram.
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