instruction:
In this task you will be given a passage and a yes/no question based on the passage. You should answer the question using the information from the passage.
question:
passage: 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).
 question: is the cross product of two normalized vectors normalized?
answer:
Yes


question:
passage: In organic chemistry, an alkene is an unsaturated hydrocarbon that contains at least one carbon--carbon double bond. The words alkene and olefin are often used interchangeably (see nomenclature section below). Acyclic alkenes, with only one double bond and no other functional groups, known as mono-enes, form a homologous series of hydrocarbons with the general formula CH. Alkenes have two hydrogen atoms fewer than the corresponding alkane (with the same number of carbon atoms). The simplest alkene, ethylene (CH), with the International Union of Pure and Applied Chemistry (IUPAC) name ethene, is the organic compound produced on the largest scale industrially. Aromatic compounds are often drawn as cyclic alkenes, but their structure and properties are different and they are not considered to be alkenes.
 question: can alkenes have more than one double bond?
answer:
Yes


question:
passage: Kingdom Hearts HD 1.5 Remix includes both Kingdom Hearts Final Mix and Re:Chain of Memories in high-definition and with trophy support. Additionally, the collection features a cinematic remake of Kingdom Hearts 358/2 Days, including high-definition cutscenes from the original game plus new scenes; the 358/2 Days cinematic also has trophy support. Ideas for a remastered collection of Kingdom Hearts games were first revealed in August 2011, with the collection formally announced in September 2012. Kingdom Hearts Final Mix, in addition to being created from the ground up due to lost assets from the original game, had the most adjustments made to its gameplay, including adding Reaction Commands first introduced in Kingdom Hearts II and allowing the camera to be moved with the right thumb stick.
 question: is kingdom hearts 1.5 remix the same as the original?
answer:

No


