Geometric product

This crossword clue is for the definition: Geometric product.
it’s A 17 letters crossword puzzle definition.
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Possible Answers: AREA.

Last seen on: LA Times Crossword 25 Dec 18, Tuesday

Random information on the term “Geometric product”:

Vector algebra and geometric algebra are complementary approaches to providing additional algebraic structures on vector spaces, with geometric interpretations, particularly vector fields in multivariable calculus and applications in mathematical physics.

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Vector algebra is specific to Euclidean 3-space, while geometric algebra uses multilinear algebra and applies in all dimensions and signatures, notably 3+1 spacetime as well as 2 dimensions. They are mathematically equivalent in 3 dimensions, where this article is focused, though the approaches differ. Vector algebra is more widely used in elementary multivariable calculus, while geometric algebra is used in more advanced treatments, and is proposed for elementary use as well.

Geometric algebra (GA) is an extension or completion of vector algebra (VA).[1] The reader is herein assumed to be familiar with the basic concepts and operations of VA and this article will mainly concern itself with operations in G 3 {\displaystyle {\mathcal {G}}_{3}} the GA of 3D space (nor is this article intended to be mathematically rigorous). In GA, vectors are not normally written boldface as the meaning is usually clear from the context.

Geometric product on Wikipedia