dot product wikipedia - EAS
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See all on Wikipediahttps://en.wikipedia.org/wiki/Dot_productIn mathematics, the dot product or scalar product 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 … See more
The dot product may be defined algebraically or geometrically. The geometric definition is based on the notions of angle and distance (magnitude) of vectors. The equivalence of these two definitions relies on … See more
There are two ternary operations involving dot product and cross product.
The scalar triple product of three vectors is defined as
Its value is the determinant of the matrix whose columns are … See moreAlgorithms
The straightforward algorithm for calculating a floating-point dot product of vectors can suffer … See moreThe dot product fulfills the following properties if a, b, and c are real vectors and r is a scalar.
1. Commutative:
2. Distributive over vector addition:
3. Bilinear: See moreIn physics, vector magnitude is a scalar in the physical sense (i.e., a physical quantity independent of the coordinate system), expressed as the See more
Wikipedia text under CC-BY-SA license- https://simple.wikipedia.org/wiki/Dot_product
WebThe dot product is also a scalar in this sense, given by the formula, independent of the coordinate system. For example: Mechanical work is the dot product of force and …
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- https://en.wikipedia.org/wiki/Vector_multiplication
In mathematics, vector multiplication may refer to one of several operations between two (or more) vectors. It may concern any of the following articles:
• Dot product – also known as the "scalar product", a binary operation that takes two vectors and returns a scalar quantity. The dot product of two vectors can be defined as the product of the magnitudes of the two vectors and the cosine of the angle between the two vectors. Alternatively…Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 1 min
- https://en.wikipedia.org/wiki/Dot_product_representation_of_a_graph
WebA dot product representation of a simple graph is a method of representing a graph using vector spaces and the dot product from linear algebra. Every graph has a dot product …
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- https://en.wikipedia.org/wiki/Triple_product
WebThe scalar triple product (also called the mixed product, box product, or triple scalar product) is defined as the dot product of one of the vectors …
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- https://en.wikipedia.org/wiki/Inner_product_space
WebInner product spaces generalize Euclidean vector spaces, in which the inner product is the dot product or scalar product of Cartesian coordinates. Inner product spaces of infinite …
- https://www.khanacademy.org/math/linear-algebra/...
WebTaking a dot product is taking a vector, projecting it onto another vector and taking the length of the resulting vector as a result of the operation. Simply by this definition it's clear …
- https://sco.wikipedia.org/wiki/Dot_product
WebDot product, geometric defineetion In mathematics , the dot product or scalar product [1] (whiles inner product in the context o Euclidean space , or rarely projection product for …
Dot product - Wikipedia - BME
https://static.hlt.bme.hu/.../wiki/Dot_product.htmlWebAlgebraically, the dot product is the sum of the productsof the corresponding entries of the two sequences of numbers. Geometrically, it is the product of the Euclidean …
- https://en.wikipedia.org/wiki/Cross_product
WebThe dot product of two unit vectors behaves just oppositely: it is zero when the unit vectors are perpendicular and 1 if the unit vectors are parallel. Unit vectors enable two convenient identities: the dot product of two unit …
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