input: Cross product

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).

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is the cross product of two normalized vectors normalized
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output: yes
Question: All six of the crew were lost at sea. did they ever find the crew of the andrea gail

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Answer: no
IN: ''The NBA officially recognizes four quadruple-doubles''; ''The NBA does not recognize this as a quadruple-double in his biography''. Please clarify this. --Preceding unsigned comment added by 71.207.219.120 (talk) 07:00, 19 December 2008 (UTC)
has any nba player ever had a quadruple double?

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OUT: yes
What's the best answer to this question: is omega the last letter of the greek alphabet?

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Answer: yes
Text: Several classes of antibiotics are effective in treating bubonic plague. These include aminoglycosides such as streptomycin and gentamicin, tetracyclines (especially doxycycline), and the fluoroquinolone ciprofloxacin. Mortality associated with treated cases of bubonic plague is about 1--15%, compared to a mortality of 40--60% in untreated cases.

Question: is there a treatment for the bubonic plague?

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[separator]
Answer: yes
Problem: Text: An ice rink (or ice skating rink) is a frozen body of water and/or hardened chemicals where people can ice skate or play winter sports. Besides recreational ice skating, some of its uses include ice hockey, bandy, rink bandy, ringette, broomball, speed skating, figure skating, ice stock sport and curling as well as exhibitions, contests and ice shows. There are two types of rinks in prevalent use today: natural, where freezing occurs from cold ambient temperatures, and artificial (or mechanically frozen), where a coolant produces cold temperatures in the surface below the water, causing the water to freeze. There are also synthetic ice rinks where skating surfaces are made out of plastics.

Question: is it cold in the ice skating rink?

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A:
yes