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Dot product. In mathematics, the dot product or scalar product[ note 1] is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors ), and returns a single number. In Euclidean geometry, the dot product of the Cartesian coordinates of two vectors is widely used. It is often called the inner product (or ...
Rafael Nadal holds an all-time record of 14 French Open titles, the most at any slam in tennis history. He is the second man in the Open Era to complete a double Career Grand Slam (2022). Roger Federer holds an all-time record of eight Wimbledon titles. He also held the most major titles in singles between 2009 and 2022.
Vector algebra relations. The following are important identities in vector algebra. Identities that only involve the magnitude of a vector and the dot product (scalar product) of two vectors A · B, apply to vectors in any dimension, while identities that use the cross product (vector product) A × B only apply in three dimensions, since the ...
Bentley Fortissimo. The Bentley Fortissimo tennis racquet of 1972 was the first oversize tennis racquet to be produced and demonstrated publicly. [1] Prior to its introduction, all tennis racquets were much smaller in terms of the stringbed size, measured in square inches. Today, that size, known as standard, is not used by any professional ...
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Triple product. In geometry and algebra, the triple product is a product of three 3- dimensional vectors, usually Euclidean vectors. The name "triple product" is used for two different products, the scalar -valued scalar triple product and, less often, the vector -valued vector triple product .
The tennis racket theorem or intermediate axis theorem, is a kinetic phenomenon of classical mechanics which describes the movement of a rigid body with three distinct principal moments of inertia. It has also dubbed the Dzhanibekov effect , after Soviet cosmonaut Vladimir Dzhanibekov , who noticed one of the theorem's logical consequences ...
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