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.
Select the correct answer using the code given below

Options

A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2

Answer

C

Explanation

Both statement (1) and (2) are correct.