Q: 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)
ight)) and is denoted by the symbol (\displaystyle imes ) . Given two linearly independent vectors a (\displaystyle \mathbf (a) ) and b (\displaystyle \mathbf (b) ) , the cross product, a b (\displaystyle \mathbf (a) imes \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).
Can we conclude that is dot product the same as cross product?
OPTIONS:
- no
- yes
A: no

Q: The liger is a hybrid offspring of a male lion (Panthera leo) and a female tiger (Panthera tigris). The liger has parents in the same genus but of different species. The liger is distinct from the similar hybrid tigon, and is the largest of all known extant felines. They enjoy swimming, which is a characteristic of tigers, and are very sociable like lions. Notably, ligers typically grow larger than either parent species, unlike tigons.
Can we conclude that are ligers a separate species from tigers and lions?
OPTIONS:
- no
- yes
A: yes

Q: Fantastic Beasts and Where to Find Them is a 2001 book written by British author J.K. Rowling (under the pen name of the fictitious author Newt Scamander) about the magical creatures in the Harry Potter universe. The original version, illustrated by the author herself, purports to be Harry Potter's copy of the textbook of the same name mentioned in Harry Potter and the Philosopher's Stone (or Harry Potter and the Sorcerer's Stone in the US), the first novel of the Harry Potter series. It includes several notes inside it supposedly handwritten by Harry, Ron Weasley, and Hermione Granger, detailing their own experiences with some of the beasts described, and including in-jokes relating to the original series.
Can we conclude that is fantastic beast and where to find them a book?
OPTIONS:
- no
- yes
A: yes

Q: Brighton Beach is an oceanside neighborhood in the southern portion of the New York City borough of Brooklyn, along the Coney Island peninsula. According to the 2010 United States Census report, the Brighton Beach and Coney Island area, combined, had more than 110,000 residents. Brighton Beach is bounded by Coney Island proper at Ocean Parkway to the west, Manhattan Beach at Corbin Place to the east, Sheepshead Bay at the Belt Parkway to the north, and the Atlantic Ocean to the south along the beach and boardwalk.
Can we conclude that are brighton beach and coney island the same?
OPTIONS:
- no
- yes
A:
no