The resultant of two vectors `vec(A)` & `vec(B)` is `vec(C)`. If direction of `vec(B)` is reversed the resultant is `vec(D)`. Then which of the following is true ?

Options

A. `C^(2) + D^(2) = A^(2) + B^(2)`
B. `A^(2) + C^(2) = B^(2) + D^(2)`
C. `C^(2) + D^(2) = 2(A^(2) + B^(2))`
D. `C^(2) - D^(2) = A^(2) + B^(2)`

Answer

C