Gross investment can be zero but never negative because it is the investment in the capital stock.
Explanation:
Gross investment in a country is the amount that has been spent by the economy on the fixed assets of the economy in a given period of time. It is the addition done to the total capital stock of the country in a particular period of time.
So this shows that it can be zero meaning that no amount is spent on the addition of the capital stock in a particular period of time but it can never be negative.