You will be given a passage, and your task is to generate a Yes/No question that is answerable based on the given passage.

Example Input: In mathematics and vector algebra, the cross product or vector product (occasionally directed area product to emphasize the geometric significance) is a binary operation on two vectors in three-dimensional space ( R 3 ) (\displaystyle \left(\mathbb (R) ^(3)\right)) and is denoted by the symbol × (\displaystyle \times ) . Given two linearly independent vectors a (\displaystyle \mathbf (a) ) and b (\displaystyle \mathbf (b) ) , the cross product, a × b (\displaystyle \mathbf (a) \times \mathbf (b) ) , is a vector that is perpendicular to both a (\displaystyle \mathbf (a) ) and b (\displaystyle \mathbf (b) ) and thus normal to the plane containing them. It has many applications in mathematics, physics, engineering, and computer programming. It should not be confused with dot product (projection product).
Example Output: is dot product the same as cross product?

Example Input: The FA Cup winners qualify for the following season's UEFA Europa League (formerly named the UEFA Cup; from its launch in 1960 until 1998, they entered the now-defunct UEFA Cup Winners' Cup instead). This European place applies even if the team is relegated or is not in the English top flight. In the past, if the FA Cup winning team also qualified for the following season's Champions League or Europa League through their league position, then the losing FA Cup finalist were given this European berth instead. FA Cup winners enter the Europa League at the group stage. Losing finalists, if they haven't qualified for Europe via the league, began earlier, at the play-off or third qualifying round stage. From the 2015--16 UEFA Europa League season, however, UEFA does not allow the runners-up to qualify for the Europa League through the competition. If the winner -- and until 2015, the runner-up -- has already qualified for Europe through their league position (with the exception of the UEFA Cup until 1998), the FA Cup berth is then given to the highest-place team in the league who has not yet qualified.
Example Output: does the fa cup get you into europe?

Example Input: The term ``distilled vinegar'' as used in the United States (called ``spirit vinegar'' in the UK, ``white vinegar'' in Canada) is something of a misnomer because it is not produced by distillation but by fermentation of distilled alcohol. The fermentate is diluted to produce a colorless solution of 5% to 8% acetic acid in water, with a pH of about 2.6. This is variously known as distilled spirit, ``virgin'' vinegar, or white vinegar, and is used in cooking, baking, meat preservation, and pickling, as well as for medicinal, laboratory, and cleaning purposes. The most common starting material in some regions, because of its low cost, is malt, or in the United States, corn. It is sometimes derived from petroleum. Distilled vinegar in the UK is produced by the distillation of malt to give a clear vinegar which maintains some of the malt flavour. Distilled vinegar is used predominantly for cooking, although in Scotland it is used as an alternative to brown or light malt vinegar. White distilled vinegar can also be used for cleaning, and some is actually sold specifically for this purpose.
Example Output:
is distilled vinegar the same as white vinegar for cooking?

