TASK DEFINITION: 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.
PROBLEM: 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?

SOLUTION: Yes

PROBLEM: passage: The pilot was picked up by The CW to a series order of 13 episodes in May 2012. Four months into the first season, the network renewed The Carrie Diaries for a second season, which premiered in October 2013. In May 2014, The CW canceled the series after two seasons.
 question: does the carrie diaries have a season 3?

SOLUTION: No

PROBLEM: passage: Development for A Place to Call Home began after Bevan Lee completed his ``domestic trilogy'' (Always Greener, Packed to the Rafters and Winners & Losers). He took inspiration from film director Douglas Sirk's 1950s films such as Written on the Wind (1956) and All That Heaven Allows (1955). Lee told The Age that he wanted to create a romance-driven melodrama based in the 1950s because people's lives in the present are ``relatively bland''. He said: ``At the end of the day, conflict is drama and we live in relatively conflict-free society. I had to go to a place where there was pain and damage and hurt; after the war there was.'' The script is co-written by Lee and Trent Atkinson.
 question: is a place to call home based on a book?

SOLUTION:
No