According to the law of demand, when will higher corn prices reduce the quantity demanded of co

The answer is "When non price determinants, like income and the number of buyers, are unchanged".

The law of demand, which is a microeconomics law expresses that if we consider all other factors or components being consistent ,  the relation between the price and quantity demand of any good and service are inversely related with each other. At the point when the cost of an item increases, the interest for a similar item will decrease, and similarly if the cost of item decreases the interest for a similar item will increases.

What do you mean by that?