Step 1: Sensible Heat Flux
Sensible heat flux is the transfer of heat due to temperature differences. Since the temperature difference between the air and sea is zero, the sensible heat flux will be zero.
Step 2: Latent Heat Flux
Latent heat flux depends on the difference in moisture content between the air and the sea, and it is not necessarily zero when the temperature difference is zero. Therefore, latent heat flux is not always zero in this condition.
Step 3: Momentum Flux
Momentum flux depends on wind speed and does not necessarily become zero when the temperature difference is zero. Therefore, momentum flux is not always zero.
Step 4: Net Energy Flux
Net energy flux refers to the total energy transfer, including both heat and work, and it is not necessarily zero when the temperature difference is zero.
Final Answer: \[ \boxed{\text{(A) Sensible heat flux is zero.}} \]
The value of the determinant 
is: