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?
A: no

Q: Ready Player One is a 2011 science fiction novel, and the debut novel of American author Ernest Cline. The story, set in a dystopian 2040s, follows protagonist Wade Watts on his search for an Easter egg in a worldwide virtual reality game, the discovery of which will lead him to inherit the game creator's fortune. Cline sold the rights to publish the novel in June 2010, in a bidding war to the Crown Publishing Group (a division of Random House). The book was published on August 16, 2011. An audiobook was released the same day; it was narrated by Wil Wheaton, who was mentioned briefly in one of the chapters. In 2012, the book received an Alex Award from the Young Adult Library Services Association division of the American Library Association and won the 2012 Prometheus Award.
Can we conclude that was ready player one based on a book?
A: yes

Q: Although the name ''freshwater pearl mussel'' is often used for this species, other freshwater mussel species can also create pearls and some can also be used as a source of mother of pearl. In fact, most cultured pearls today come from Hyriopsis species in Asia, or Amblema species in North America, both members of the related family Unionidae; pearls are also found within species in the genus Unio.
Can we conclude that can you find a pearl in a mussel?
A: yes

Q: On April 2, 2018, The CW renewed the series for a fifth and final season.
Can we conclude that are they still making jane the virgin episodes?
A:
yes