The product of two complex numbers x + it and x' + iy' is zero. Which of the following statements is most appropriate?

One of the complex numbers is zero

Both complex numbers must be zero

The real parts of both are zero

None of these

Given the product of two complex numbers (x + iy) and (x' + iy') is zero:

(x + iy)(x' + iy') = 0

This implies either (x + iy) = 0 or (x' + iy') = 0.

Therefore, at least one of the complex numbers must be zero.